{"id":193,"date":"2020-04-18T14:13:59","date_gmt":"2020-04-18T18:13:59","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/?post_type=chapter&#038;p=193"},"modified":"2021-06-28T12:16:28","modified_gmt":"2021-06-28T16:16:28","slug":"cost-functions","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/chapter\/cost-functions\/","title":{"raw":"2.3 Cost Functions","rendered":"2.3 Cost Functions"},"content":{"raw":"<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Key Takeaways<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\"><em>Cost functions give the cost of an activity.<\/em><\/div>\r\n<\/div>\r\n&nbsp;\r\n\r\nThe function used as an example in this chapter, which gives cost in terms of a number of posters, has some elements typical of <em>cost functions<\/em>. Cost functions give the cost of an activity, usually in terms of some measurement of a level of activity.\r\n\r\nThe [pb_glossary id=\"194\"]<em>fixed cost<\/em>[\/pb_glossary] is the cost that must be paid no matter how low the measured level of activity (the cost at zero). For the posters the fixed cost was the $80.00 for artwork and set-up, since these things would have to be done even if only one poster was produced.\r\n\r\nThe [pb_glossary id=\"195\"]<em>variable cost<\/em>[\/pb_glossary] is the part of the cost that changes with the level of activity. For linear cost functions, the variable part of the cost changes <strong>directly<\/strong> with the level of the activity. In the poster example, the variable cost is $0.11<em>x<\/em>. The $0.11 per poster is called the <em>variable cost per unit<\/em>. The fact that the variable cost per unit is the same for all units makes the function linear.\r\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Key Takeaways<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">Variable cost: that part of the cost that changes with the level of the activity<\/div>\r\n<\/div>\r\n<ul>\r\n \t<li>The fixed cost is usually denoted by F or FC.<\/li>\r\n \t<li>The variable cost per unit is usually denoted by V or VC.<\/li>\r\n<\/ul>\r\nIf you take <em>x<\/em> to be the number of units produced, then you have the following as a general formula:\r\n<p style=\"text-align: center\">[latex]C=FC +VC x[\/latex]<\/p>\r\nThus, for the poster example:\r\n<ul>\r\n \t<li>FC = $80.00<\/li>\r\n \t<li>VC=$0.11 per poster<\/li>\r\n \t<li><em>x<\/em> = number of posters<\/li>\r\n<\/ul>\r\nHence,\r\n<p style=\"text-align: center\">[latex]C =$80 +$0.11x[\/latex]<\/p>\r\n\r\n<h2>Your Own Notes<\/h2>\r\n<ul>\r\n \t<li>Are there any notes you want to take from this section? Is there anything you'd like to copy and paste below?<\/li>\r\n \t<li>These notes are for you only (they will not be stored anywhere)<\/li>\r\n \t<li>Make sure to download them at the end to use as a reference<\/li>\r\n<\/ul>\r\n[h5p id=\"1\"]","rendered":"<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Key Takeaways<\/p>\n<\/header>\n<div class=\"textbox__content\"><em>Cost functions give the cost of an activity.<\/em><\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>The function used as an example in this chapter, which gives cost in terms of a number of posters, has some elements typical of <em>cost functions<\/em>. Cost functions give the cost of an activity, usually in terms of some measurement of a level of activity.<\/p>\n<p>The <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_193_194\"><em>fixed cost<\/em><\/a> is the cost that must be paid no matter how low the measured level of activity (the cost at zero). For the posters the fixed cost was the $80.00 for artwork and set-up, since these things would have to be done even if only one poster was produced.<\/p>\n<p>The <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_193_195\"><em>variable cost<\/em><\/a> is the part of the cost that changes with the level of activity. For linear cost functions, the variable part of the cost changes <strong>directly<\/strong> with the level of the activity. In the poster example, the variable cost is $0.11<em>x<\/em>. The $0.11 per poster is called the <em>variable cost per unit<\/em>. The fact that the variable cost per unit is the same for all units makes the function linear.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Key Takeaways<\/p>\n<\/header>\n<div class=\"textbox__content\">Variable cost: that part of the cost that changes with the level of the activity<\/div>\n<\/div>\n<ul>\n<li>The fixed cost is usually denoted by F or FC.<\/li>\n<li>The variable cost per unit is usually denoted by V or VC.<\/li>\n<\/ul>\n<p>If you take <em>x<\/em> to be the number of units produced, then you have the following as a general formula:<\/p>\n<p style=\"text-align: center\">[latex]C=FC +VC x[\/latex]<\/p>\n<p>Thus, for the poster example:<\/p>\n<ul>\n<li>FC = $80.00<\/li>\n<li>VC=$0.11 per poster<\/li>\n<li><em>x<\/em> = number of posters<\/li>\n<\/ul>\n<p>Hence,<\/p>\n<p style=\"text-align: center\">[latex]C =$80 +$0.11x[\/latex]<\/p>\n<h2>Your Own Notes<\/h2>\n<ul>\n<li>Are there any notes you want to take from this section? Is there anything you&#8217;d like to copy and paste below?<\/li>\n<li>These notes are for you only (they will not be stored anywhere)<\/li>\n<li>Make sure to download them at the end to use as a reference<\/li>\n<\/ul>\n<div id=\"h5p-1\">\n<div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-1\" class=\"h5p-iframe\" data-content-id=\"1\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"Key takeaways, notes and comments from this section document tool.\"><\/iframe><\/div>\n<\/div>\n<div class=\"glossary\"><span class=\"screen-reader-text\" id=\"definition\">definition<\/span><template id=\"term_193_194\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_193_194\"><div tabindex=\"-1\"><p>Also can be known as the Operations Costs or Operating Expenses.\u00a0 Stay the same no matter how may units are sold.<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_193_195\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_193_195\"><div tabindex=\"-1\"><p>Costs that vary based on how many items are made and sold.<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><\/div>","protected":false},"author":883,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-193","chapter","type-chapter","status-publish","hentry"],"part":40,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/193","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/users\/883"}],"version-history":[{"count":8,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/193\/revisions"}],"predecessor-version":[{"id":3172,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/193\/revisions\/3172"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/parts\/40"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/193\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/media?parent=193"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapter-type?post=193"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/contributor?post=193"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/license?post=193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}