{"id":413,"date":"2018-04-17T21:24:38","date_gmt":"2018-04-17T21:24:38","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/?post_type=chapter&#038;p=413"},"modified":"2024-04-29T16:54:43","modified_gmt":"2024-04-29T16:54:43","slug":"methods-to-determine-the-break-even-point","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/chapter\/methods-to-determine-the-break-even-point\/","title":{"raw":"Methods to Determine the Break-Even Point","rendered":"Methods to Determine the Break-Even Point"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Determine the break-even point using the equation method, the formula method, and in dollar sales and sales units<\/li>\r\n<\/ul>\r\n<\/div>\r\nSo the Minnesota Kayak Company has these awesome new kayaks they are going to introduce to the market. They are a new company and need help in determining pricing, costs and how many kayaks they will need to sell in a month to break even. They are looking to you to help them determine if the selling price and costs will help them to reach their goals. They give you the following information to work with:\r\n<div>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Price per kayak<\/td>\r\n<td>$500<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>variable costs per kayak<\/td>\r\n<td>$225<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Contribution margin per kayak<\/td>\r\n<td>$275<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Fixed costs\/month<\/td>\r\n<td>$7,700<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\nWith this information, it is your task to find the breakeven point using the three different methods. Let\u2019s look first at the equation method:\r\n\r\nThe equation method utilizes the profit equation introduced earlier.\r\n\r\n[latex]\\text{Profit}=\\text{Selling price}-\\text{Variable Expenses}-\\text{Fixed Expenses}[\/latex]\r\n\r\nAlso, let\u2019s revisit the contribution margin concept and some shortcuts.\r\n<ul>\r\n \t<li>[latex]\\text{Contribution margin}=\\text{Selling price}-\\text{Variable expenses}[\/latex]<\/li>\r\n \t<li>Profit= P<\/li>\r\n \t<li>Contribution Margin= CM<\/li>\r\n \t<li>Quantity= Q<\/li>\r\n \t<li>Fixed Expenses = F<\/li>\r\n \t<li>Variable Expenses = V<\/li>\r\n<\/ul>\r\nSo in our kayak example we are looking for a break even point meaning that the profit = $0\r\n\r\nWe can then put together our break even point utilizing the equation method as follows:\r\n\r\n[latex]\\begin{array}{rcl}\\$0&amp;=&amp;\\text{Unit CM}\\times\\text{Q}-\\text{F}\\\\\\$0&amp;=&amp;\\$275\\times\\text{Q}-\\$7,700\\\\\\$7,700&amp;=&amp;\\$275\\times\\text{Q}\\\\\\dfrac{\\$7,700}{275}&amp;=&amp;\\text{Q}\\\\28&amp;=&amp;\\text{Q}\\end{array}[\/latex]\r\n\r\nMinnesota Kayak needs to sell 28 kayaks at $500 each to break even.\r\n\r\nThe formula method gets to the same answer in a different way. It is kind of a shortcut to the equation method:\r\n\r\n[latex]\\begin{array}{rcl}\\text{Unit Sales to Break Even}&amp;=&amp;\\dfrac{\\text{F}}{\\text{Unit CM}}\\\\\\dfrac{\\$7,700}{\\$275}&amp;=&amp;28\\text{ kayaks}\\end{array}[\/latex]\r\n\r\nSo regardless of the method used, you get to the same result!\r\n<div class=\"textbox tryit\">\r\n<h3>Practice Questions<\/h3>\r\nhttps:\/\/assess.lumenlearning.com\/practice\/fa2f0d8f-751c-4ed4-87bd-0544b894428f\r\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Determine the break-even point using the equation method, the formula method, and in dollar sales and sales units<\/li>\n<\/ul>\n<\/div>\n<p>So the Minnesota Kayak Company has these awesome new kayaks they are going to introduce to the market. They are a new company and need help in determining pricing, costs and how many kayaks they will need to sell in a month to break even. They are looking to you to help them determine if the selling price and costs will help them to reach their goals. They give you the following information to work with:<\/p>\n<div>\n<table>\n<tbody>\n<tr>\n<td>Price per kayak<\/td>\n<td>$500<\/td>\n<\/tr>\n<tr>\n<td>variable costs per kayak<\/td>\n<td>$225<\/td>\n<\/tr>\n<tr>\n<td>Contribution margin per kayak<\/td>\n<td>$275<\/td>\n<\/tr>\n<tr>\n<td>Fixed costs\/month<\/td>\n<td>$7,700<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>With this information, it is your task to find the breakeven point using the three different methods. Let\u2019s look first at the equation method:<\/p>\n<p>The equation method utilizes the profit equation introduced earlier.<\/p>\n<p>[latex]\\text{Profit}=\\text{Selling price}-\\text{Variable Expenses}-\\text{Fixed Expenses}[\/latex]<\/p>\n<p>Also, let\u2019s revisit the contribution margin concept and some shortcuts.<\/p>\n<ul>\n<li>[latex]\\text{Contribution margin}=\\text{Selling price}-\\text{Variable expenses}[\/latex]<\/li>\n<li>Profit= P<\/li>\n<li>Contribution Margin= CM<\/li>\n<li>Quantity= Q<\/li>\n<li>Fixed Expenses = F<\/li>\n<li>Variable Expenses = V<\/li>\n<\/ul>\n<p>So in our kayak example we are looking for a break even point meaning that the profit = $0<\/p>\n<p>We can then put together our break even point utilizing the equation method as follows:<\/p>\n<p>[latex]\\begin{array}{rcl}\\$0&=&\\text{Unit CM}\\times\\text{Q}-\\text{F}\\\\\\$0&=&\\$275\\times\\text{Q}-\\$7,700\\\\\\$7,700&=&\\$275\\times\\text{Q}\\\\\\dfrac{\\$7,700}{275}&=&\\text{Q}\\\\28&=&\\text{Q}\\end{array}[\/latex]<\/p>\n<p>Minnesota Kayak needs to sell 28 kayaks at $500 each to break even.<\/p>\n<p>The formula method gets to the same answer in a different way. It is kind of a shortcut to the equation method:<\/p>\n<p>[latex]\\begin{array}{rcl}\\text{Unit Sales to Break Even}&=&\\dfrac{\\text{F}}{\\text{Unit CM}}\\\\\\dfrac{\\$7,700}{\\$275}&=&28\\text{ kayaks}\\end{array}[\/latex]<\/p>\n<p>So regardless of the method used, you get to the same result!<\/p>\n<div class=\"textbox tryit\">\n<h3>Practice Questions<\/h3>\n<p>\t<iframe id=\"assessment_practice_fa2f0d8f-751c-4ed4-87bd-0544b894428f\" class=\"resizable\" src=\"https:\/\/assess.lumenlearning.com\/practice\/fa2f0d8f-751c-4ed4-87bd-0544b894428f?iframe_resize_id=assessment_practice_id_fa2f0d8f-751c-4ed4-87bd-0544b894428f\" frameborder=\"0\" style=\"border:none;width:100%;height:100%;min-height:300px;\"><br \/>\n\t<\/iframe>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-413\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Methods to Determine the Break-Even Point. <strong>Authored by<\/strong>: Freedom Learning Group. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":62559,"menu_order":15,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Methods to Determine the Break-Even Point\",\"author\":\"Freedom Learning Group\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"804bd01d-fd31-4314-8765-6285348d6423, cdd915e2-41ba-4ee4-85f1-0a9fd2bb131e","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-413","chapter","type-chapter","status-publish","hentry"],"part":107,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/pressbooks\/v2\/chapters\/413","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/wp\/v2\/users\/62559"}],"version-history":[{"count":10,"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/pressbooks\/v2\/chapters\/413\/revisions"}],"predecessor-version":[{"id":4093,"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/pressbooks\/v2\/chapters\/413\/revisions\/4093"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/pressbooks\/v2\/parts\/107"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/pressbooks\/v2\/chapters\/413\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/wp\/v2\/media?parent=413"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/pressbooks\/v2\/chapter-type?post=413"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/wp\/v2\/contributor?post=413"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-accountingformanagers\/wp-json\/wp\/v2\/license?post=413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}