{"id":10869,"date":"2023-08-01T11:10:26","date_gmt":"2023-08-01T15:10:26","guid":{"rendered":"https:\/\/smartcorp.com\/forecasting\/what-silicon-valley-bank-can-learn-from-supply-chain-planning-copy\/"},"modified":"2023-09-05T08:52:29","modified_gmt":"2023-09-05T12:52:29","slug":"una-introduccion-suave-a-dos-tecnicas-avanzadas-bootstrapping-estadistico-y-simulacion-de-monte-carlo","status":"publish","type":"post","link":"https:\/\/smartcorp.com\/es\/blog\/advanced-techniques-statistical-bootstrapping-and-monte-carlo-simulation\/","title":{"rendered":"Una introducci\u00f3n suave a dos t\u00e9cnicas avanzadas: Bootstrapping estad\u00edstico y simulaci\u00f3n de Monte Carlo"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;0px||||false|false&#8221; custom_padding=&#8221;0px||||false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row admin_label=&#8221;Row&#8221; module_class=&#8221;blog_glob&#8221; _builder_version=&#8221;4.16&#8243; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; saved_specialty_column_type=&#8221;2_3&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text content_last_edited=&#8221;off|desktop&#8221; admin_label=&#8221;CONTENT&#8221; module_class=&#8221;post-main_text&#8221; _builder_version=&#8221;4.21.0&#8243; header_3_text_color=&#8221;#0c71c3&#8243; header_3_font_size=&#8221;19px&#8221; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221; hover_enabled=&#8221;0&#8243; z_index_tablet=&#8221;500&#8243; text_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; text_text_shadow_vertical_length_tablet=&#8221;0px&#8221; text_text_shadow_blur_strength_tablet=&#8221;1px&#8221; link_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; link_text_shadow_vertical_length_tablet=&#8221;0px&#8221; link_text_shadow_blur_strength_tablet=&#8221;1px&#8221; ul_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; ul_text_shadow_vertical_length_tablet=&#8221;0px&#8221; ul_text_shadow_blur_strength_tablet=&#8221;1px&#8221; ol_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; ol_text_shadow_vertical_length_tablet=&#8221;0px&#8221; ol_text_shadow_blur_strength_tablet=&#8221;1px&#8221; quote_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; quote_text_shadow_vertical_length_tablet=&#8221;0px&#8221; quote_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_2_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_2_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_2_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_3_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_3_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_3_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_4_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_4_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_4_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_5_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_5_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_5_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_6_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_6_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_6_text_shadow_blur_strength_tablet=&#8221;1px&#8221; box_shadow_horizontal_tablet=&#8221;0px&#8221; box_shadow_vertical_tablet=&#8221;0px&#8221; box_shadow_blur_tablet=&#8221;40px&#8221; box_shadow_spread_tablet=&#8221;0px&#8221; use_border_color=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221; sticky_enabled=&#8221;0&#8243;]<\/p>\n<p><strong>Summary<\/strong><\/p>\n<p>Smart Software\u2019s advanced supply chain analytics exploits multiple advanced methods. Two of the most important are \u201cstatistical bootstrapping\u201d and \u201cMonte Carlo simulation\u201d. Since both involve lots of random numbers flying around, folks sometimes get confused about which is which and what they are good for. Hence, this note. Bottom line up front: Statistical bootstrapping generates demand scenarios for forecasting. Monte Carlo simulation uses the scenarios for inventory optimization.<\/p>\n<p><strong>Bootstrapping<\/strong><\/p>\n<p>Bootstrapping, also called \u201cresampling\u201d is a method of computational statistics that we use to create demand scenarios for forecasting. The essence of the forecasting problem is to expose possible futures that your company might confront so you can work out how to manage business risks. Traditional forecasting methods focus on computing \u201cmost likely\u201d futures, but they fall short of presenting the full risk picture. Bootstrapping provides an unlimited number of realistic what-if scenarios.<\/p>\n<p>Bootstrapping does this without making unrealistic assumptions about the demand, i.e., that it is not intermittent, or that it has a bell-shaped distribution of sizes. Those assumptions are crutches to make the math simpler, but the bootstrap is a procedure,\u00a0 not an equation, so it doesn\u2019t need such simplifications.<\/p>\n<p>For the simplest demand type, which is a stable randomness with no seasonality or trend, bootstrapping is dead easy. To get a reasonable idea of what a single future demand value might be, pick one of the historical demands at random. To create a demand scenario, make multiple random selections from the past and string them together. Done. It is possible to add a little more realism by \u201cjittering\u201d the demand values, i.e., adding or subtracting a bit of additional randomness to each one, but even that is simple.<\/p>\n<p>Figure 1 shows a simple bootstrap. The first line is a short sequence of historical demand for an SKU. The following lines show scenarios of future demand created by randomly selecting values from the demand history. For instance, the next three demand might be (0, 14, 6), or (2, 3, 5), etc.<\/p>\n<div id=\"attachment_10872\" style=\"width: 1556px\" class=\"wp-caption alignnone\"><a href=\"https:\/\/smartcorp.com\/forecasting\/advanced-techniques-statistical-bootstrapping-and-monte-carlo-simulation\/attachment\/statistical-bootstrapping-and-monte-carlo-simulation-1\/\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10872\" class=\"wp-image-10872 size-full\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-1.jpg\" alt=\"Statistical Bootstrapping and Monte Carlo Simulation 1\" width=\"1546\" height=\"244\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-1.jpg 1546w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-1-1280x202.jpg 1280w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-1-980x155.jpg 980w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-1-480x76.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) and (max-width: 1280px) 1280px, (min-width: 1281px) 1546px, 100vw\" \/><\/a><p id=\"caption-attachment-10872\" class=\"wp-caption-text\">Figure 1: Example of demand scenarios generated by a simple bootstrap<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>Higher frequency operations such as daily forecasting bring with them more complex demand patterns, such as double seasonality (e.g., day-of-week and month-of-year) and\/or trend. This challenged us to invent a new generation of bootstrapping algorithms. We recently won a US Patent for this breakthrough, but the essence is as described above.<\/p>\n<p><strong>Monte Carlo Simulation<\/strong><\/p>\n<p>Monte Carlo is famous for its casinos, which, like bootstrapping, invoke the idea of randomness. Monte Carlo methods go back a long way, but the modern impetus came with the need to do some hairy calculations about where neutrons would fly when an A-bomb explodes.<\/p>\n<p>The essence of Monte Carlo analysis is this: \u201cOur problem is too complicated to analyze with paper-and-pencil equations. So, let\u2019s write a computer program that codes the individual steps of the process, put in the random elements (e.g., which way a neutron shoots away), wind it up and watch it go. Since there\u2019s a lot of randomness, let\u2019s run the program a zillion times and average the results.\u201d<\/p>\n<p>Applying this approach to inventory management, we have a different set of randomly occurring events: e.g., a demand of a given size arrives on a random day, a replenishment of a given size arrives after a random lead time, we cut a replenishment PO of a given size when stock drops to or below a given reorder point. We code the logic relating these events into a program. We feed it with a random demand sequence (see bootstrapping above), run the program for a while, say one year of daily operations, compute performance metrics like Fill Rate and Average On Hand inventory, and \u201ctoss the dice\u201d by re-running the program many times and averaging the results of many simulated years. The result is a good estimate of what happens when we make key management decisions: \u201cIf we set the reorder point at 10 units and the order quantity at 15 units, we can expect to get a service level of 89% and an average on hand of 21 units.\u201d What the simulation is doing for us is exposing the consequences of management decisions based on realistic demand scenarios and solid math. The guesswork is gone.<\/p>\n<p>Figure 2 shows some of the inner workings of a Monte Carlo simulation of an inventory system in four panels. The system uses a Min\/Max inventory control policy with Min=10 and Max=25. No backorders are allowed: you have the good or you lose the business. Replenishment lead times are usually 7 days but sometimes 14. This simulation ran for one year.<\/p>\n<p>The first panel shows a complex random demand scenario in which there is no demand on weekends, but demand generally increases each day from Monday to Friday. The second panel shows the random number of units on hand, which ebbs and flows with each replenishment cycle. The third panel shows the random sizes and timings of replenishment orders coming in from the supplier. The final panel shows the unsatisfied demand that jeopardizes customer relationships. This kind of detail can be very useful for building insight into the dynamics of an inventory system.<\/p>\n<div id=\"attachment_10873\" style=\"width: 1426px\" class=\"wp-caption alignnone\"><a href=\"https:\/\/smartcorp.com\/forecasting\/advanced-techniques-statistical-bootstrapping-and-monte-carlo-simulation\/attachment\/statistical-bootstrapping-and-monte-carlo-simulation-2\/\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10873\" class=\"wp-image-10873 size-full\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-2.jpg\" alt=\"Statistical Bootstrapping and Monte Carlo Simulation 2\" width=\"1416\" height=\"741\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-2.jpg 1416w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-2-1280x670.jpg 1280w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-2-980x513.jpg 980w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-2-480x251.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) and (max-width: 1280px) 1280px, (min-width: 1281px) 1416px, 100vw\" \/><\/a><p id=\"caption-attachment-10873\" class=\"wp-caption-text\">Figure 2: Details of a Monte Carlo simulation<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>Figure 2 shows only one of the countless ways that the year could play out. Generally, we want to average the results of many simulated years. After all, nobody would flip a coin once to decide if it were a fair coin. Figure 3 shows how four key performance metrics (KPI\u2019s) vary from year to year for this system. Some metrics are relatively stable across simulations (Fill Rate), but others show more relative variability (Operating Cost= Holding Cost + Ordering Cost + Shortage Cost). Eyeballing the plots, we can estimate that the choices of Min=10, Max=25 leads to an average Operating cost of around $3,000 per year, a Fill Rate of around 90%, a Service Level of around 75%, and an Average On Hand of about 10<\/p>\n<div id=\"attachment_10874\" style=\"width: 1420px\" class=\"wp-caption alignnone\"><a href=\"https:\/\/smartcorp.com\/forecasting\/advanced-techniques-statistical-bootstrapping-and-monte-carlo-simulation\/attachment\/statistical-bootstrapping-and-monte-carlo-simulation-3\/\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10874\" class=\"wp-image-10874 size-full\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-3.jpg\" alt=\"Statistical Bootstrapping and Monte Carlo Simulation 3\" width=\"1410\" height=\"735\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-3.jpg 1410w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-3-1280x667.jpg 1280w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-3-980x511.jpg 980w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/06\/Statistical-Bootstrapping-and-Monte-Carlo-Simulation-3-480x250.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) and (max-width: 1280px) 1280px, (min-width: 1281px) 1410px, 100vw\" \/><\/a><p id=\"caption-attachment-10874\" class=\"wp-caption-text\">Figure 3: Variation in KPI\u2019s computed over 1,000 simulated years<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>In fact, it is now possible to answer a higher level of management question. We can go beyond \u201cWhat will happen if I do such-and-such?\u201d to \u201cWhat is the <u>best<\/u> thing I can do to achieve a fill rate of at least 90% for this item at the lowest possible cost?\u201d The <em>mathemagic<\/em>\u00a0 behind this leap is yet another key technology called \u201cstochastic optimization\u201d, but we\u2019ll stop here for now. Suffice it to say that Smart\u2019s SIO&amp;P software can search the \u201cdesign space\u201d of Min and Max values to automatically find the best choice.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/smartcorp.com\/inventory-optimization\/\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1527\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/04\/optim_bottom.png\" alt=\"\" width=\"700\" height=\"250\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/04\/optim_bottom.png 700w, https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/04\/optim_bottom-480x171.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 700px, 100vw\" \/><\/a><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>El an\u00e1lisis avanzado de la cadena de suministro de Smart Software explota m\u00faltiples m\u00e9todos avanzados. Dos de los m\u00e1s importantes son el \u201cbootstrapping estad\u00edstico\u201d y la \u201csimulaci\u00f3n Monte Carlo\u201d. Dado que ambos involucran muchos n\u00fameros aleatorios que vuelan, la gente a veces se confunde acerca de cu\u00e1l es cu\u00e1l y para qu\u00e9 sirven. Por eso, esta nota. En pocas palabras: el arranque estad\u00edstico genera escenarios de demanda para la previsi\u00f3n. La simulaci\u00f3n de Monte Carlo utiliza los escenarios para la optimizaci\u00f3n del inventario.<\/p>","protected":false},"author":122,"featured_media":10870,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<p>[et_pb_section fb_built=\"1\" admin_label=\"section\" module_class=\"blog_css\" _builder_version=\"3.22\" transparent_background=\"off\" make_fullwidth=\"off\" use_custom_width=\"off\" width_unit=\"on\" global_colors_info=\"{}\"][et_pb_row admin_label=\"row\" _builder_version=\"3.25\" background_size=\"initial\" background_position=\"top_left\" background_repeat=\"repeat\" global_colors_info=\"{}\"][et_pb_column type=\"4_4\" _builder_version=\"3.0.47\" custom_padding=\"|||\" global_colors_info=\"{}\" custom_padding__hover=\"|||\"][et_pb_code admin_label=\"CSS\" _builder_version=\"4.10.7\" global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] 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[et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_learn_more_bg{<!-- [et_pb_line_break_holder] --> width: 23%;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_contact_us_bg,.subscribe_ff{<!-- [et_pb_line_break_holder] --> width: 25%;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.subscribe_bg input[type=email]{<!-- [et_pb_line_break_holder] -->border: 1px solid #00964d !important;<!-- [et_pb_line_break_holder] --> background: #ffffff !important;<!-- [et_pb_line_break_holder] --> width: 99%!important;<!-- [et_pb_line_break_holder] --> height: 40px !important;<!-- [et_pb_line_break_holder] --> border-radius: 0 !important;<!-- [et_pb_line_break_holder] --> text-align: center !important;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] --> font-size: 18px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.subscribe_bg .ajax-loader{<!-- [et_pb_line_break_holder] --> display: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.ff_submit{<!-- [et_pb_line_break_holder] --> padding: 2px 20px !important;<!-- [et_pb_line_break_holder] --> width: 99%;<!-- [et_pb_line_break_holder] --> background: #00964d !important;<!-- [et_pb_line_break_holder] --> height: 42px !important;<!-- [et_pb_line_break_holder] -->border: none !important;<!-- [et_pb_line_break_holder] --> border-radius: 0 !important;<!-- [et_pb_line_break_holder] -->font-size: 23px !important;<!-- [et_pb_line_break_holder] --> line-height: 28px !important;<!-- [et_pb_line_break_holder] --> font-weight: normal !important;<!-- [et_pb_line_break_holder] -->font-family:'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] -->text-transform: none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.subscribe_bg .wpcf7-not-valid-tip,.subscribe_ff div.wpcf7-validation-errors{<!-- [et_pb_line_break_holder] --> width: 99%;<!-- [et_pb_line_break_holder] --> margin-left: 0 !important;<!-- [et_pb_line_break_holder] --> margin-top: 0 !important;<!-- [et_pb_line_break_holder] --> color: #ffffff !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_learn_more_text ul{<!-- [et_pb_line_break_holder] --> list-style-type: none !important;<!-- [et_pb_line_break_holder] --> padding-left: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_contact_us_text img{<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> margin-right: 15px;<!-- [et_pb_line_break_holder] -->vertical-align: middle;<!-- [et_pb_line_break_holder] -->margin-bottom: 10px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_contact_us_text{<!-- [et_pb_line_break_holder] --> margin-bottom: 16px;<!-- [et_pb_line_break_holder] --> line-height: 18px !important;<!-- [et_pb_line_break_holder] --> vertical-align: middle;<!-- [et_pb_line_break_holder] --> word-wrap: break-word;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_contact_us_text:after {<!-- [et_pb_line_break_holder] --> content: '';<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> clear: both;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_contact_us_share img{<!-- [et_pb_line_break_holder] --> margin-right: 7px;<!-- [et_pb_line_break_holder] --> margin-left: 5px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_bottom_text{<!-- [et_pb_line_break_holder] --> position: absolute;<!-- [et_pb_line_break_holder] --> bottom: 20px;<!-- [et_pb_line_break_holder] --> color: #4e81ba;<!-- [et_pb_line_break_holder] --> font-size: 14px<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_about_us_bg{<!-- [et_pb_line_break_holder] -->padding-right: 80px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_contact_us_bg{<!-- [et_pb_line_break_holder] --> padding-right: 52px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bar h4{<!-- [et_pb_line_break_holder] --> margin-top: 60px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_gutters3 .et_pb_column_1_3 .et_pb_grid_item, .et_pb_gutters3 .et_pb_column_1_3 .et_pb_widget, .et_pb_gutters3 .et_pb_column_1_3 .et_pb_shop_grid .woocommerce ul.products li.product, .et_pb_gutters3.et_pb_row .et_pb_column_1_3 .et_pb_grid_item, .et_pb_gutters3.et_pb_row .et_pb_column_1_3 .et_pb_widget, .et_pb_gutters3.et_pb_row .et_pb_column_1_3 .et_pb_shop_grid .woocommerce ul.products li.product, .et_section_specialty .et_pb_row .et_pb_column_2_3 .et_pb_gutters3.et_pb_row_inner .et_pb_column_1_3 .et_pb_grid_item, .et_section_specialty .et_pb_row .et_pb_column_2_3 .et_pb_gutters3.et_pb_row_inner .et_pb_column_1_3 .et_pb_widget, .et_section_specialty .et_pb_row .et_pb_column_2_3 .et_pb_gutters3.et_pb_row_inner .et_pb_column_1_3 .et_pb_shop_grid .woocommerce ul.products li.product{<!-- [et_pb_line_break_holder] --> margin-bottom: 0px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_css{<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_posts a.more-link{<!-- [et_pb_line_break_holder] -->float:right;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bar h4{<!-- [et_pb_line_break_holder] -->color: #0d4c92 !important;<!-- [et_pb_line_break_holder] --> font-size: 23px;<!-- [et_pb_line_break_holder] --> margin-bottom: 30px;<!-- [et_pb_line_break_holder] -->font-family: 'Open Sans', sans-serif;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bg{<!-- [et_pb_line_break_holder] -->padding: 120px 15px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.post-content p{<!-- [et_pb_line_break_holder] --> display: inline-block !important;<!-- [et_pb_line_break_holder] --> float: right;<!-- [et_pb_line_break_holder] --> height: 174px;<!-- [et_pb_line_break_holder] --> display: -webkit-box !important;<!-- [et_pb_line_break_holder] --> -webkit-line-clamp: 7;<!-- [et_pb_line_break_holder] --> -webkit-box-orient: vertical;<!-- [et_pb_line_break_holder] --> overflow: hidden;<!-- [et_pb_line_break_holder] --> text-overflow: ellipsis;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_post .entry-featured-image-url{<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> margin-right: 25px;<!-- [et_pb_line_break_holder] --> display: inline-block !important;<!-- [et_pb_line_break_holder] -->position: absolute !important;<!-- [et_pb_line_break_holder] --> bottom: 55px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> .post-meta {<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.et_pb_widget ul li {<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3;<!-- [et_pb_line_break_holder] --> padding-bottom: 5px;<!-- [et_pb_line_break_holder] --> margin-bottom: 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.rpwwt-post-title{<!-- [et_pb_line_break_holder] -->height: 50px;<!-- [et_pb_line_break_holder] --> display: -webkit-box;<!-- [et_pb_line_break_holder] --> -webkit-line-clamp: 2;<!-- [et_pb_line_break_holder] --> -webkit-box-orient: vertical;<!-- [et_pb_line_break_holder] --> overflow: hidden;<!-- [et_pb_line_break_holder] --> text-overflow: ellipsis;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.rpwwt-post-excerpt{<!-- [et_pb_line_break_holder] --> height: 34px;<!-- [et_pb_line_break_holder] --> display: -webkit-box;<!-- [et_pb_line_break_holder] --> -webkit-line-clamp: 2;<!-- [et_pb_line_break_holder] --> -webkit-box-orient: vertical;<!-- [et_pb_line_break_holder] --> overflow: hidden;<!-- [et_pb_line_break_holder] --> text-overflow: ellipsis;<!-- [et_pb_line_break_holder] --> margin-bottom: 20px;<!-- [et_pb_line_break_holder] --> color: #707070;<!-- [et_pb_line_break_holder] --> font-size: 12px;<!-- [et_pb_line_break_holder] --> line-height: 16px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.rpwwt-widget ul li a{<!-- [et_pb_line_break_holder] --> color: #0d4c92 !important;<!-- [et_pb_line_break_holder] --> font-size: 14px;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 3px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-2 .cat-item a{<!-- [et_pb_line_break_holder] --> text-decoration: none;<!-- [et_pb_line_break_holder] --> font-size: 16px;<!-- [et_pb_line_break_holder] --> line-height: 32px;<!-- [et_pb_line_break_holder] --> color: #3c3c3c !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.blog_glob article{<!-- [et_pb_line_break_holder] -->box-shadow: 0px 0px 5px silver;<!-- [et_pb_line_break_holder] --> margin-bottom: 44px;<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->position: relative;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article h2 a{<!-- [et_pb_line_break_holder] -->font-size: 26px;<!-- [et_pb_line_break_holder] --> color: #0d4c92 !important;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 8px;<!-- [et_pb_line_break_holder] -->font-family: 'Open Sans', sans-serif;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_top_title {<!-- [et_pb_line_break_holder] -->font-size: 38px;<!-- [et_pb_line_break_holder] --> color: #ffffff;<!-- [et_pb_line_break_holder] --> text-transform: uppercase;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif;<!-- [et_pb_line_break_holder] --> margin-bottom: 4px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_top_text{<!-- [et_pb_line_break_holder] --> font-size: 20px;<!-- [et_pb_line_break_holder] --> color: #ffffff;<!-- [et_pb_line_break_holder] --> text-transform: uppercase;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob img{<!-- [et_pb_line_break_holder] --> width: 195px;<!-- [et_pb_line_break_holder] --> height: 183px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_posts a.more-link{<!-- [et_pb_line_break_holder] -->text-decoration: none;<!-- [et_pb_line_break_holder] --> background: #14954a;<!-- [et_pb_line_break_holder] --> color: #ffffff;<!-- [et_pb_line_break_holder] --> padding: 11px 15px;<!-- [et_pb_line_break_holder] --> font-size: 16px;<!-- [et_pb_line_break_holder] --> width: auto;<!-- [et_pb_line_break_holder] --> display: inline-block !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-meta{<!-- [et_pb_line_break_holder] --> color: #a3a3a3 !important;<!-- [et_pb_line_break_holder] --> font-size: 13px !important;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3 !important;<!-- [et_pb_line_break_holder] --> padding-bottom: 10px !important;<!-- [et_pb_line_break_holder] --> margin-bottom: 19px !important;<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> .post-content p{<!-- [et_pb_line_break_holder] --> margin-bottom: 12px !important;<!-- [et_pb_line_break_holder] --> padding-bottom: 18px !important;<!-- [et_pb_line_break_holder] --> color: #707070 !important;<!-- [et_pb_line_break_holder] --> font-size: 16px !important;<!-- [et_pb_line_break_holder] --> line-height: 24px !important;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3 !important;<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->.post-meta .author.vcard a{<!-- [et_pb_line_break_holder] --> font-style: italic !important;<!-- [et_pb_line_break_holder] --> color: #a3a3a3 !important;<!-- [et_pb_line_break_holder] --> font-size: 13px !important;<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->@media (max-width: 1150px){<!-- [et_pb_line_break_holder] -->.post-content {<!-- [et_pb_line_break_holder] --> width: 60%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 1060px){<!-- [et_pb_line_break_holder] -->.post-content {<!-- [et_pb_line_break_holder] --> width: 55%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 980px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.blog_glob{<!-- [et_pb_line_break_holder] -->width: auto;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article{<!-- [et_pb_line_break_holder] -->width:auto;<!-- [et_pb_line_break_holder] --> padding: 45px 20px 10px 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] -->margin: auto;<!-- [et_pb_line_break_holder] --> width: 80%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_column .et_pb_blog_grid .column.size-1of2, .et_pb_column .et_pb_widget:nth-child(n) {<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] --> margin: 0 7.5% 7.5% 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_col {<!-- [et_pb_line_break_holder] --> width: 56% !important;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.sitebar_col{<!-- [et_pb_line_break_holder] --> width: 230px !important;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: right;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->@media (max-width: 930px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 85%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 870px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 90%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 830px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 97%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 767px){<!-- [et_pb_line_break_holder] -->.sitebar_col {<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_col {<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> float: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob {<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] --> float: none;<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article {<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] --> padding: 45px 20px 10px 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj {<!-- [et_pb_line_break_holder] -->width: 280px;<!-- [et_pb_line_break_holder] --> margin: auto;<!-- [et_pb_line_break_holder] -->padding-bottom:20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_post .entry-featured-image-url {<!-- [et_pb_line_break_holder] --> float: none !important;<!-- [et_pb_line_break_holder] --> margin-right: 0 !important;<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] --> position: relative !important;<!-- [et_pb_line_break_holder] --> bottom: 0 !important;<!-- [et_pb_line_break_holder] --> text-align: center !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-content {<!-- [et_pb_line_break_holder] --> display: none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.blog_top_title {<!-- [et_pb_line_break_holder] --> line-height: 38px;<!-- [et_pb_line_break_holder] --> font-size: 34px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article h2 a {<!-- [et_pb_line_break_holder] --> line-height: 28px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bg {<!-- [et_pb_line_break_holder] --> padding: 50px 15px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_code admin_label=\"A POST CSS\" _builder_version=\"4.10.7\" global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->@media (max-width: 1320px){<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article img {<!-- [et_pb_line_break_holder] --> width: 160px !important;<!-- [et_pb_line_break_holder] --> height: 160px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts article {<!-- [et_pb_line_break_holder] --> width: 180px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 1160px){<!-- [et_pb_line_break_holder] -->.relposts article:nth-child(2) {<!-- [et_pb_line_break_holder] --> display:none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article .entry-title{<!-- [et_pb_line_break_holder] --> height: 85px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts{<!-- [et_pb_line_break_holder] --> margin: auto;<!-- [et_pb_line_break_holder] --> float: none;<!-- [et_pb_line_break_holder] --> width: 390px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.relposts:after {<!-- [et_pb_line_break_holder] --> content: '';<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> clear: both;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article h2 a{<!-- [et_pb_line_break_holder] --> font-size: 13.08px !important;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->.relposts article {<!-- [et_pb_line_break_holder] --> margin-bottom: 25px !important ;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article .entry-title{<!-- [et_pb_line_break_holder] -->margin-top:2px;<!-- [et_pb_line_break_holder] --> line-height: 0.7em !important;<!-- [et_pb_line_break_holder] --> height: 70px ;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts article{<!-- [et_pb_line_break_holder] --> width: 212px ;<!-- [et_pb_line_break_holder] --> display: inline-block !important;<!-- [et_pb_line_break_holder] --> float: left !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts article:nth-child(1) {<!-- [et_pb_line_break_holder] --> margin-right: 25px ;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts article:nth-child(2) {<!-- [et_pb_line_break_holder] --> margin-right: 25px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article{<!-- [et_pb_line_break_holder] -->display: inline-block;<!-- [et_pb_line_break_holder] --> padding: 10px 10px 30px 10px !important;<!-- [et_pb_line_break_holder] --> box-shadow: 0px 0px 5px silver !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article{<!-- [et_pb_line_break_holder] --> padding: 10px 10px 30px 10px !important;<!-- [et_pb_line_break_holder] --> box-shadow: 0px 0px 5px silver !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts .et_pb_post .entry-featured-image-url {<!-- [et_pb_line_break_holder] --> float: none !important;<!-- [et_pb_line_break_holder] --> margin-right: 0 !important;<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] --> position: relative !important;<!-- [et_pb_line_break_holder] --> bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-content{<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts_title{<!-- [et_pb_line_break_holder] --> text-align: center;<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 15px;<!-- [et_pb_line_break_holder] --> margin-top: 70px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj{<!-- [et_pb_line_break_holder] --> margin-top: 60px;<!-- [et_pb_line_break_holder] --> margin-bottom: 60px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj ul li a {<!-- [et_pb_line_break_holder] --> text-decoration: none;<!-- [et_pb_line_break_holder] --> font-size: 16px;<!-- [et_pb_line_break_holder] --> line-height: 32px;<!-- [et_pb_line_break_holder] --> color: #3c3c3c;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj ul {<!-- [et_pb_line_break_holder] --> padding: 0 !important;<!-- [et_pb_line_break_holder] --> margin-top: 0;<!-- [et_pb_line_break_holder] --> list-style-type: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.categ_title {<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> padding-bottom: 30px;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj ul li{<!-- [et_pb_line_break_holder] -->text-decoration: none;<!-- [et_pb_line_break_holder] --> font-size: 16px;<!-- [et_pb_line_break_holder] --> line-height: 32px;<!-- [et_pb_line_break_holder] --> color: #3c3c3c;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj ul li {<!-- [et_pb_line_break_holder] --> list-style-type: none;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3;<!-- [et_pb_line_break_holder] --> padding: 10px 0;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.share_blog{<!-- [et_pb_line_break_holder] -->margin:5px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->div.wp_rp_content {<!-- [et_pb_line_break_holder] --> display: none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-soc-icon img{<!-- [et_pb_line_break_holder] --> width: inherit !important;<!-- [et_pb_line_break_holder] --> height: inherit !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> .post_soc {<!-- [et_pb_line_break_holder] --> position: absolute;<!-- [et_pb_line_break_holder] --> margin-left: -55px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.bloggg{<!-- [et_pb_line_break_holder] --> position: relative;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> .post-soc-icon a img {<!-- 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[et_pb_line_break_holder] -->.post-main_text {<!-- [et_pb_line_break_holder] -->text-align: justify; <!-- [et_pb_line_break_holder] --> color: #404040;<!-- [et_pb_line_break_holder] --> font-size: 16px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text a{<!-- [et_pb_line_break_holder] -->color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-style: italic;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text span{<!-- [et_pb_line_break_holder] --> font-style: italic;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text strong{<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-weight: 400;<!-- [et_pb_line_break_holder] --> font-size: 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper .entry-title{<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 8px;<!-- [et_pb_line_break_holder] --> text-decoration: none;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.single.et_pb_pagebuilder_layout.et_full_width_page .et_post_meta_wrapper {<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-meta>a, .comments-number{<!-- [et_pb_line_break_holder] -->display:none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.single.et_pb_pagebuilder_layout.et_full_width_page .et_post_meta_wrapper {<!-- [et_pb_line_break_holder] --> padding-top: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bg{<!-- [et_pb_line_break_holder] -->padding: 120px 15px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#left-area {<!-- [et_pb_line_break_holder] --> padding-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.single .et_pb_post{<!-- [et_pb_line_break_holder] --> padding-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.single .et_pb_post{<!-- [et_pb_line_break_holder] --> margin-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 767px){<!-- [et_pb_line_break_holder] -->.subscribe_bg{<!-- [et_pb_line_break_holder] --> margin-bottom: 60px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj {<!-- [et_pb_line_break_holder] --> margin-bottom: -60px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj{<!-- [et_pb_line_break_holder] -->margin-top:40px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper img {<!-- [et_pb_line_break_holder] --> width: auto !important;<!-- [et_pb_line_break_holder] --> height: auto !important;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> margin-right: 20px;<!-- [et_pb_line_break_holder] --> max-width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb{<!-- [et_pb_line_break_holder] --> padding-top: 10px;<!-- [et_pb_line_break_holder] --> margin-top: 0;<!-- [et_pb_line_break_holder] --> margin-bottom: 10px;<!-- [et_pb_line_break_holder] --> border-bottom: 2px solid #0d4c92;<!-- [et_pb_line_break_holder] --> border-top: 2px solid #0d4c92;<!-- [et_pb_line_break_holder] --> text-align: center;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.categ_title{<!-- [et_pb_line_break_holder] -->font-weight: bold;<!-- [et_pb_line_break_holder] -->color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> padding-bottom: 30px;<!-- [et_pb_line_break_holder] --> border-bottom: none;<!-- [et_pb_line_break_holder] --> padding-bottom: 10px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.categ_title:after {<!-- [et_pb_line_break_holder] --> content: 'f0dd ';<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-family: fontawesome;<!-- [et_pb_line_break_holder] --> margin-left: 5px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb ul{<!-- [et_pb_line_break_holder] --> display: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb ul.baccc {<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 850px){<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper img {<!-- [et_pb_line_break_holder] --> width: auto !important;<!-- [et_pb_line_break_holder] --> height: auto !important;<!-- [et_pb_line_break_holder] --> float: none !important;<!-- [et_pb_line_break_holder] --> text-align: center !important;<!-- [et_pb_line_break_holder] --> margin: auto !important;<!-- [et_pb_line_break_holder] --> max-width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.sitebar_col {<!-- [et_pb_line_break_holder] --> width: 190px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_code global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --> $(window).scroll(function() {<!-- [et_pb_line_break_holder] -->if ($(window).scrollTop() >= 400 ) {<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"position\",\"fixed\");<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"top\",\"170px\");<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->if ($(window).scrollTop() < 400 ) {<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"position\",\"absolute\");<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"top\",\"55px\"); <!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->if ($(window).width() < 767 ) {<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"position\",\"relative\");<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"top\",\"0px\");<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> }); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_code admin_label=\"Comment CSS\" global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->#comment-wrap {<!-- [et_pb_line_break_holder] --> padding-top: 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.com_title{<!-- [et_pb_line_break_holder] --> color: #00964d;<!-- [et_pb_line_break_holder] --> font-size: 20px;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 36px;<!-- [et_pb_line_break_holder] --> padding-top: 40px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_sect {<!-- [et_pb_line_break_holder] --> position: relative;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_area p{<!-- [et_pb_line_break_holder] --> font-size: 18px;<!-- [et_pb_line_break_holder] --> font-style: italic;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.reply-container,#comments,.comment-reply-title{<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article {<!-- [et_pb_line_break_holder] --> box-shadow: none !important;<!-- [et_pb_line_break_holder] --> margin-bottom: 0 !important;<!-- [et_pb_line_break_holder] --> padding: 20px 34px 10px 5px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_area{<!-- [et_pb_line_break_holder] --> width: 90%;<!-- [et_pb_line_break_holder] --> float: right;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_postinfo {<!-- [et_pb_line_break_holder] --> display: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->img.avatar.avatar-80.photo {<!-- [et_pb_line_break_holder] --> width: 50px;<!-- [et_pb_line_break_holder] --> height: 50px;<!-- [et_pb_line_break_holder] --> border-radius: 50%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.form-submit{<!-- [et_pb_line_break_holder] --> position: absolute;<!-- [et_pb_line_break_holder] --> right: 25px;<!-- [et_pb_line_break_holder] --> bottom: 30px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_module .et_pb_button:hover, .et_pb_button:hover {<!-- [et_pb_line_break_holder] --> padding: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.form-submit input:hover{<!-- [et_pb_line_break_holder] --> width: 44px;<!-- [et_pb_line_break_holder] --> height: 46px;<!-- [et_pb_line_break_holder] --> border-radius: 50%;<!-- [et_pb_line_break_holder] --> opacity: 0;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.form-submit input{<!-- [et_pb_line_break_holder] --> width: 44px;<!-- [et_pb_line_break_holder] --> height: 46px;<!-- [et_pb_line_break_holder] --> border-radius: 50%;<!-- [et_pb_line_break_holder] --> opacity: 0;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.form-submit:before {<!-- [et_pb_line_break_holder] --> content: '';<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> width: 46px;<!-- [et_pb_line_break_holder] --> height: 46px;<!-- [et_pb_line_break_holder] --> background-image: url(https:\/\/smartcorp.com\/wp-content\/uploads\/2017\/05\/comment.png);<!-- [et_pb_line_break_holder] --> background-repeat: no-repeat;<!-- [et_pb_line_break_holder] --> position: absolute;<!-- [et_pb_line_break_holder] --> z-index: 0;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-author input{<!-- [et_pb_line_break_holder] --> width: 270px !important;<!-- [et_pb_line_break_holder] --> margin-right: 36px !important;<!-- [et_pb_line_break_holder] --> border-left: none !important;<!-- [et_pb_line_break_holder] --> border-right: none !important;<!-- [et_pb_line_break_holder] --> border-top: none !important;<!-- [et_pb_line_break_holder] --> border-color: #d6d6d6 !important;<!-- [et_pb_line_break_holder] --> height: 44px !important;<!-- [et_pb_line_break_holder] --> border-width: 1px !important;<!-- [et_pb_line_break_holder] --> margin-right: 20px !important;<!-- [et_pb_line_break_holder] --> background: transparent !important;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #ccc !important;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-email input{<!-- [et_pb_line_break_holder] --> width: 270px !important;<!-- [et_pb_line_break_holder] --> border-left: none !important;<!-- [et_pb_line_break_holder] --> border-right: none !important;<!-- [et_pb_line_break_holder] --> border-top: none !important;<!-- [et_pb_line_break_holder] --> border-color: #d6d6d6 !important;<!-- [et_pb_line_break_holder] --> height: 44px !important;<!-- [et_pb_line_break_holder] --> 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[et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_code global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(window).on('load', function(){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --> if ($(window).width() < 2000 ) {<!-- [et_pb_line_break_holder] --> $(\".commentlist\").prepend($(\".comment-respond\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->if ($(window).width() < 2000 ) {<!-- [et_pb_line_break_holder] --> $(\".comment_sect\").prepend($(\".com-title\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_code global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(document).ready(function (){<!-- [et_pb_line_break_holder] --> $(\".categ_title\").click(function(){<!-- [et_pb_line_break_holder] --> $(\"#categories-bbb ul\").toggleClass(\"baccc\");<!-- [et_pb_line_break_holder] --> }) <!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->[\/et_pb_code][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\"1\" _builder_version=\"4.10.5\" _module_preset=\"default\" custom_margin=\"0px||||false|false\" custom_padding=\"0px||||false|false\" global_colors_info=\"{}\"][et_pb_row admin_label=\"Row\" module_class=\"blog_glob\" _builder_version=\"3.25\" locked=\"off\" global_colors_info=\"{}\"][et_pb_column type=\"4_4\" saved_specialty_column_type=\"2_3\" _builder_version=\"3.0.47\" custom_padding=\"|||\" global_colors_info=\"{}\" custom_padding__hover=\"|||\"][et_pb_code module_class=\"append_categ\" global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(window).on('load', function(){<!-- [et_pb_line_break_holder] --> if ($(window).width() < 767 ) {<!-- [et_pb_line_break_holder] --> $(\".append_categ\").append($(\"#categories-bbb\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_text content_last_edited=\"off|desktop\" admin_label=\"CONTENT\" module_class=\"post-main_text\" _builder_version=\"4.14.4\" header_3_text_color=\"#0c71c3\" header_3_font_size=\"19px\" background_size=\"initial\" background_position=\"top_left\" background_repeat=\"repeat\" z_index_tablet=\"500\" text_text_shadow_horizontal_length_tablet=\"0px\" text_text_shadow_vertical_length_tablet=\"0px\" text_text_shadow_blur_strength_tablet=\"1px\" link_text_shadow_horizontal_length_tablet=\"0px\" link_text_shadow_vertical_length_tablet=\"0px\" link_text_shadow_blur_strength_tablet=\"1px\" ul_text_shadow_horizontal_length_tablet=\"0px\" ul_text_shadow_vertical_length_tablet=\"0px\" ul_text_shadow_blur_strength_tablet=\"1px\" ol_text_shadow_horizontal_length_tablet=\"0px\" ol_text_shadow_vertical_length_tablet=\"0px\" ol_text_shadow_blur_strength_tablet=\"1px\" quote_text_shadow_horizontal_length_tablet=\"0px\" quote_text_shadow_vertical_length_tablet=\"0px\" quote_text_shadow_blur_strength_tablet=\"1px\" header_text_shadow_horizontal_length_tablet=\"0px\" header_text_shadow_vertical_length_tablet=\"0px\" header_text_shadow_blur_strength_tablet=\"1px\" header_2_text_shadow_horizontal_length_tablet=\"0px\" header_2_text_shadow_vertical_length_tablet=\"0px\" header_2_text_shadow_blur_strength_tablet=\"1px\" header_3_text_shadow_horizontal_length_tablet=\"0px\" header_3_text_shadow_vertical_length_tablet=\"0px\" header_3_text_shadow_blur_strength_tablet=\"1px\" header_4_text_shadow_horizontal_length_tablet=\"0px\" header_4_text_shadow_vertical_length_tablet=\"0px\" header_4_text_shadow_blur_strength_tablet=\"1px\" header_5_text_shadow_horizontal_length_tablet=\"0px\" header_5_text_shadow_vertical_length_tablet=\"0px\" header_5_text_shadow_blur_strength_tablet=\"1px\" header_6_text_shadow_horizontal_length_tablet=\"0px\" header_6_text_shadow_vertical_length_tablet=\"0px\" header_6_text_shadow_blur_strength_tablet=\"1px\" box_shadow_horizontal_tablet=\"0px\" box_shadow_vertical_tablet=\"0px\" box_shadow_blur_tablet=\"40px\" box_shadow_spread_tablet=\"0px\" use_border_color=\"off\" global_colors_info=\"{}\"]<\/p><p>Recently, I had an interesting conversation with an inventory manager and the VP Finance. We were discussing the benefits of being able to automatically optimize both reorder points and order quantities. The VP Finance was concerned that given their large supplier required minimum order quantities, they would not be able to benefit.\u00a0 He said his suppliers held all the power, forcing him to accept massive minimum order quantities and tying his hands. While he felt bad about this, he saw a silver lining: He didn\u2019t have to do any planning. He would accept a large inventory investment, but his customer service levels would the exceptional.\u00a0 Perhaps the large inventory investment was assumed to be the cost of doing business.<\/p><p>I pushed back and pointed out that he was not as powerless as he felt. He still had control of the other half of the procurement process: while he couldn\u2019t control how much to order, he could control when to order by adjusting the reorder point. In other words, there is always room for careful quantitative analysis in inventory management, even when you have one hand tied behind your back.<\/p><p><strong>An Example<\/strong><\/p><p>To put some numbers behind my argument, I created a scenario then analyzed it using our methodology to show how consequential it can be to use inventory optimization software even in constrained situations. In this scenario, item demand averages 2.2 units per day but varies significantly by day of week. Let\u2019s say the imaginary supplier insists on a minimum order quantity of 500 units (way out of proportion to demand) and fills replenishment orders in either three days or ten days in equal proportions (quite inconsistent). To spread the blame around, let\u2019s also suppose that the imaginary supplier\u2019s imaginary customer uses a foolish rule that the reorder point should be 10% of the minimum order quantity. (Why this rule? Too many companies use simple\/simplistic rules of thumb in lieu of proper analysis.)<\/p><p>So, we have a base case in which the order quantity is 500 units, and the reorder point is 50 units. In this case, the fill rate is 100%, but the average number of units on hand is a whopping 330. If the customer would simply lower the reorder point from 50 to 15, the fill rate would still be 99.5%, but the average stock on hand would drop by 11% to 295 units. Using the one hand not tied behind his back, the inventory manager could cut his inventory investment by more than 10%, which would be a noticeable win.<\/p><p>Incidentally, if the minimum order quantity were abolished, the customer would be free to arrive at a new and much better solution. Setting the order quantity to 45 and the reorder point to 25 would achieve a 99% fill rate at the cost of a daily on-hand level of only 35 units: nearly a 90% reduction in inventory investment: a major improvement over the status quo.<\/p><p><strong>Postscript<\/strong><\/p><p>These calculations are possible using our software, which can make visible the otherwise unknown relationships between inventory system design choices (e.g., order quantity and reorder point) and key performance indicators (e.g., average units on hand and fill rate).\u00a0 Armed with this ability to conduct these calculations, alternative arrangements with the supplier may now be considered. For example, what if, in exchange for paying a higher price per unit, the supplier agreed to a lower MOQ. Using the software to conduct an analysis of the key performance indicators using the \u201cwhat if\u201d costs and MOQs would reveal the cost per unit and MOQ that would be needed to develop a more profitable deal.\u00a0\u00a0 Once identified, all parties stand to benefit.\u00a0 The supplier now generates a better margin on sales of its products, and the buyer holds considerably less inventory yielding a holding cost reduction that dwarfs the added cost per unit.\u00a0 Everyone wins.<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p><a href=\"https:\/\/smartcorp.com\/inventory-optimization\/\"><img class=\"aligncenter size-full wp-image-1527\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/04\/optim_bottom.png\" alt=\"\" width=\"700\" height=\"250\" \/><\/a><\/p><p>[\/et_pb_text][et_pb_code module_class=\"comment_sect\" _builder_version=\"4.10.7\" global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(window).on('load', function(){<!-- [et_pb_line_break_holder] --> if ($(window).width() < 2000 ) {<!-- [et_pb_line_break_holder] --> $(\".comment_sect\").append($(\"#comment-wrap\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> if ($(window).width() < 2000) {<!-- [et_pb_line_break_holder] --> $(\"#et-main-area\").prepend($(\".blog_bg \"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --> if ($(window).width() < 2000 ) {<!-- [et_pb_line_break_holder] --> $(\".post-main_text\").prepend($(\".et_post_meta_wrapper\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_code admin_label=\"Comment \" module_class=\"com-title\" global_colors_info=\"{}\"]<\/p><div class=\"com_title\">Leave a Comment<\/div><p>[\/et_pb_code][et_pb_code module_class=\"append_subs\" global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(window).on('load', function(){<!-- [et_pb_line_break_holder] --> if ($(window).width() < 767 ) {<!-- [et_pb_line_break_holder] --> $(\".append_subs\").append($(\".ghj\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_code module_class=\"append_share\" global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. 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