{"id":40,"date":"2016-08-09T11:12:12","date_gmt":"2016-08-09T18:12:12","guid":{"rendered":"http:\/\/pages.palomar.edu\/jesteban\/?page_id=40"},"modified":"2016-12-02T11:35:13","modified_gmt":"2016-12-02T19:35:13","slug":"lesson-3","status":"publish","type":"page","link":"https:\/\/pages.palomar.edu\/jesteban\/lesson-3\/","title":{"rendered":"Lesson 3 &#8211; Marginal Cost"},"content":{"rendered":"<p>Now we get into the most interesting and important cost curve, the <b>Marginal Cost Curve. <\/b>It is the additional cost of producing one more unit and later on will allow us to maximize profits.\u00a0 Yeahoo!\u00a0 I love profits $$$!\u00a0 As the production of pants increase, determining the additional cost of producing one more pant is crucial since that information will help us decide whether to produce or not that particular pair.\u00a0 In order to calculate the\u00a0 <b> Marginal Cost <\/b>we calculate the difference in <b>Total Cost<\/b> between the previous unit and the current unit.\u00a0 The table below calculates the <b>Marginal Cost <\/b>for Funky Pants:<\/p>\n\n<table id=\"tablepress-24\" class=\"tablepress tablepress-id-24\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">Quantity<br \/>\nFunky Pants<\/th><th class=\"column-2\">Total Cost<\/th><th class=\"column-3\">Marginal Cost<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.palomar.edu\/pages\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-1.jpg\" alt=\"mcgraphbraket-1\" width=\"179\" height=\"625\" class=\"aligncenter size-full wp-image-562\" srcset=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-1.jpg 179w, https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-1-86x300.jpg 86w\" sizes=\"auto, (max-width: 179px) 100vw, 179px\" \/><\/td><td class=\"column-2\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.palomar.edu\/pages\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-2.jpg\" alt=\"mcgraphbraket-2\" width=\"182\" height=\"625\" class=\"aligncenter size-full wp-image-563\" srcset=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-2.jpg 182w, https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-2-87x300.jpg 87w\" sizes=\"auto, (max-width: 182px) 100vw, 182px\" \/><\/td><td class=\"column-3\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.palomar.edu\/pages\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-3.jpg\" alt=\"mcgraphbraket-3\" width=\"179\" height=\"625\" class=\"aligncenter size-full wp-image-564\" srcset=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-3.jpg 179w, https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/12\/mcgraphbraket-3-86x300.jpg 86w\" sizes=\"auto, (max-width: 179px) 100vw, 179px\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-24 from cache -->\n<p>&nbsp;<\/p>\n<p>The calculations start with the first unit, as the cost went from $36 to $44, the marginal cost of producing the first unit is $8 ($44-$36), for the second unit the cost is $4, and so on.\u00a0 The arrows illustrate that the marginal cost is the additional cost of producing one more unit.\u00a0 Suppose someone offers you $25 for the eight pair of pants, would you sell it at $25?\u00a0 How much did it cost you to sew that particular pair? ($17, so sell!)\u00a0 The graph below shows why the <b>Marginal Cost<\/b> is more challenging to understand, notice that the coordinates are not exactly at 1,2,3..units, they are graphed at 0.5,1.5,2.5, etc.\u00a0 This is because the MC starts increasing as you start producing the units.\u00a0 In this case imagine you got your cloth and you add a zipper, costs have increased yet you are not finished with the pair of pants.\u00a0 In order to reflect that graphically economists graph the MC at mid point to account for the transition.\u00a0 This is a bit confusing yet useful in drawing accurate graphs and arriving at accurate conclusions!<\/p>\n<p><a href=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/MargCostGraph.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-225\" src=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/MargCostGraph.gif\" alt=\"margcostgraph\" width=\"538\" height=\"304\" \/><\/a><\/p>\n<p align=\"left\">As mentioned above graphing the marginal cost accurately is very important because this will help us determine important stages in production costs:<\/p>\n<ul>\n<li>\n<p align=\"left\">the intersection of the Marginal Cost and the Average Total Cost curves determines the lowest cost of production<\/p>\n<\/li>\n<li>\n<p align=\"left\">the intersection of the Marginal Cost and the Average Variable Cost curves determines the &#8220;shut-down&#8221; point of production<\/p>\n<p>The graph below will change to show how the increase in Costs will be reflected in the graph &#8211;<strong> please move your mouse over the image<\/strong> \ud83d\ude42<\/li>\n<\/ul>\n<div><a class=\"chart\" title=\"Total Variable Cost\" href=\"#\">\u00a0<\/a><\/div>\n<p align=\"left\">When the additional cost of producing one more unit (Marginal Cost) reaches its lowest point, the Average Total Cost is at its lowest also, hence <b>graphically the intersection of MC and ATC reflect the lowest cost per unit that may be achieved with the present production structure at Funky Pants.\u00a0<\/b> As stated earlier the intersection of MC and ATC reflect the lowest point of production, <a href=\"http:\/\/daphne.palomar.edu\/jose\/sabbatical\/Flash%20files\/McAtc.html\">play animation<\/a>.<\/p>\n<p align=\"left\">Let&#8217;s review a complete set of numbers for the per unit cost of production:<\/p>\n<p align=\"left\">\n<table id=\"tablepress-11\" class=\"tablepress tablepress-id-11\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">FUNKY PANTS<\/th><th class=\"column-2\">Average Fixed Cost (AFC)<\/th><th class=\"column-3\">Average Variable Cost (AVC)<\/th><th class=\"column-4\">Average Total Cost   (ATC)<br \/>\n=  AFC+AVC<\/th><th class=\"column-5\">Marginal Cost (MC)<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\"><\/td><td class=\"column-3\"><\/td><td class=\"column-4\"><\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">0<\/td><td class=\"column-2\">--<\/td><td class=\"column-3\">-<\/td><td class=\"column-4\">--<\/td><td class=\"column-5\">--<\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">1<\/td><td class=\"column-2\">36<\/td><td class=\"column-3\">8<\/td><td class=\"column-4\">44<\/td><td class=\"column-5\">9<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">2<\/td><td class=\"column-2\">18<\/td><td class=\"column-3\">6<\/td><td class=\"column-4\">24<\/td><td class=\"column-5\">4<\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\">3<\/td><td class=\"column-2\">12<\/td><td class=\"column-3\">5<\/td><td class=\"column-4\">17<\/td><td class=\"column-5\">2<\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-1\">4<\/td><td class=\"column-2\">9<\/td><td class=\"column-3\">5<\/td><td class=\"column-4\">14<\/td><td class=\"column-5\">5<\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td class=\"column-1\">5<\/td><td class=\"column-2\">7.2<\/td><td class=\"column-3\">5.4<\/td><td class=\"column-4\">12.6<\/td><td class=\"column-5\">7<\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-1\">6<\/td><td class=\"column-2\">6<\/td><td class=\"column-3\">6<\/td><td class=\"column-4\">12<\/td><td class=\"column-5\">9<\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-1\">7<\/td><td class=\"column-2\">5.14<\/td><td class=\"column-3\">6.57<\/td><td class=\"column-4\">11.71<\/td><td class=\"column-5\">10<\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td class=\"column-1\">8<\/td><td class=\"column-2\">4.5<\/td><td class=\"column-3\">8.13<\/td><td class=\"column-4\">12.63<\/td><td class=\"column-5\">19<\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td class=\"column-1\">9<\/td><td class=\"column-2\">4<\/td><td class=\"column-3\">10<\/td><td class=\"column-4\">14<\/td><td class=\"column-5\">25<\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td class=\"column-1\">10<\/td><td class=\"column-2\">3.6<\/td><td class=\"column-3\">13<\/td><td class=\"column-4\">16.6<\/td><td class=\"column-5\">40<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-11 from cache --><\/p>\n<p align=\"left\"><a href=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/MCandALLavg-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-247\" src=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/MCandALLavg-2.jpg\" alt=\"mcandallavg\" width=\"834\" height=\"514\" srcset=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/MCandALLavg-2.jpg 834w, https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/MCandALLavg-2-300x185.jpg 300w, https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/MCandALLavg-2-768x473.jpg 768w, https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/MCandALLavg-2-487x300.jpg 487w\" sizes=\"auto, (max-width: 834px) 100vw, 834px\" \/><\/a>The intersection of Marginal Cost and Average Total Cost curve happens at 7 units, which tells us that the lowest cost of production is 7 pants, this would be the most efficient level of production at this stage of Funky Pants!\u00a0 Notice in the table $11.71 is the lowest average cost of production at a level of\u00a0 seven units. This is a very important rule: <b> the intersection of the marginal cost curve and average total cost curve represent the lowest cost of production!<\/b> Does this imply that we should stop production at this level to maximize profits?\u00a0 Not necessarily!\u00a0 This will be discussed in the profit maximization section of Microeconomics.\u00a0 Another intersection that is very relevant for future discussions of profits is the intersection of Average Variable Cost and Marginal Cost Curves.\u00a0 Again this discussion will be expanded in the next section of Microeconomics!<\/p>\n<h2 align=\"left\"><b>Practice your knowledge of the Marginal Cost Curve:<\/b><\/h2>\n<p align=\"left\">1. If the Total Cost of producing 98 burgers at &#8220;Junk-in-the-Bag&#8221; is $68, and the cost of producing 99 burgers is $68.95, what is the marginal cost of the 99th burger?\u00a0 Why?<\/p>\n<p align=\"left\">2. Complete the table below:<\/p>\n\n<table id=\"tablepress-18\" class=\"tablepress tablepress-id-18\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">Quantity of Snow<br \/>\n Boards<\/th><th class=\"column-2\">Total Fixed<br \/>\n Cost<\/th><th class=\"column-3\">Total Variable<br \/>\n Cost<\/th><th class=\"column-4\">Total Cost<\/th><th class=\"column-5\">Marginal Cost<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\">0<\/td><td class=\"column-2\">\u00a0\u00a0$[randnum min=\"100\" max=\"120\" id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">    0<\/td><td class=\"column-4\">  $[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-5\">      --<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">1<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0 78<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"78\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">2<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0\u00a0128<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"128\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">3<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0 150<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"150\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\">4<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0\u00a0 200<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"200\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-1\">5<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0\u00a0 259<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"259\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td class=\"column-1\">6<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0 360<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"360\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-1\">7<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0 480<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"480\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-1\">8<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0\u00a0 650<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"650\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td class=\"column-1\">9<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0\u00a0 900<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"900\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td class=\"column-1\">10<\/td><td class=\"column-2\">$[randnum id=\"x\" decimals=\"2\"]<\/td><td class=\"column-3\">\u00a0$\u00a0 1,300<\/td><td class=\"column-4\">$[randnum id=\"x\" decimals=\"2\" add=\"1300\"]<\/td><td class=\"column-5\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-18 from cache -->\n<p>3. Graph the Marginal Cost from number 2 above.<\/p>\n<p>4. Given the graph below, estimate the lowest average total cost per unit of production and the number of units produced at this cost.\u00a0 Explain how you arrived at your answers.<\/p>\n<p><a href=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/costsunit.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-335\" src=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/costsunit.jpg\" alt=\"costsunit\" width=\"474\" height=\"425\" srcset=\"https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/costsunit.jpg 474w, https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/costsunit-300x269.jpg 300w, https:\/\/pages.palomar.edu\/jesteban\/wp-content\/uploads\/sites\/52\/2016\/08\/costsunit-335x300.jpg 335w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><\/a>Great! You finished the Marginal Cost lesson!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Now we get into the most interesting and important cost curve, the Marginal Cost Curve. It is the additional cost of producing one more unit and later on will allow us to maximize profits.\u00a0 Yeahoo!\u00a0 I love profits $$$!\u00a0 As &hellip; <a href=\"https:\/\/pages.palomar.edu\/jesteban\/lesson-3\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":115,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-40","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.palomar.edu\/jesteban\/wp-json\/wp\/v2\/pages\/40","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.palomar.edu\/jesteban\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pages.palomar.edu\/jesteban\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pages.palomar.edu\/jesteban\/wp-json\/wp\/v2\/users\/115"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.palomar.edu\/jesteban\/wp-json\/wp\/v2\/comments?post=40"}],"version-history":[{"count":34,"href":"https:\/\/pages.palomar.edu\/jesteban\/wp-json\/wp\/v2\/pages\/40\/revisions"}],"predecessor-version":[{"id":575,"href":"https:\/\/pages.palomar.edu\/jesteban\/wp-json\/wp\/v2\/pages\/40\/revisions\/575"}],"wp:attachment":[{"href":"https:\/\/pages.palomar.edu\/jesteban\/wp-json\/wp\/v2\/media?parent=40"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}