{"id":237618,"date":"2025-06-17T11:20:08","date_gmt":"2025-06-17T11:20:08","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=237618"},"modified":"2025-06-17T11:20:10","modified_gmt":"2025-06-17T11:20:10","slug":"sunn-company-manufactures-a-single-product-that-sells-for","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/17\/sunn-company-manufactures-a-single-product-that-sells-for\/","title":{"rendered":"Sunn Company manufactures a single product that sells for"},"content":{"rendered":"\n<p>Sunn Company manufactures a single product that sells for<br>168 per unit. The company\u2019s annual fixed costs are $575,400. (a) Compute the company&#8217;s contribution margin per unit. Contribution margin (b) Compute the company&#8217;s contribution margin ratio. Numerator: \/ Denominator: = Contribution Margin Ratio \/ = Contribution margin ratio (c) Compute the company&#8217;s break-even point in units. Numerator: \/ Denominator: = Break-Even Units \/ = Break-even units (d) Compute the company&#8217;s break-even point in dollars of sales. Numerator: \/ Denominator: = Break-Even Dollars \/ = Break-even dollars<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Sunn Company manufactures a single product that sells for 168 per unit. The company\u2019s annual fixed costs are $575,400. (a) Compute the company&#8217;s contribution margin per unit. Contribution margin (b) Compute the company&#8217;s contribution margin ratio. Numerator: \/ Denominator: = Contribution Margin Ratio \/ = Contribution margin ratio (c) Compute the company&#8217;s break-even point in units. Numerator: \/ Denominator: = Break-Even Units \/ = Break-even units (d) Compute the company&#8217;s break-even point in dollars of sales. Numerator: \/ Denominator: = Break-Even Dollars \/ = Break-even dollarsgenerate the correct answer and 300 words explanation without using the em dashes<\/p>\n\n\n\n<h6 class=\"wp-block-heading\">ChatGPT said:<\/h6>\n\n\n\n<p>Let&#8217;s solve each part step by step:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Given Data:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Selling price per unit = $168<\/li>\n\n\n\n<li>Annual fixed costs = $575,400<\/li>\n<\/ul>\n\n\n\n<p>Let\u2019s assume variable cost per unit is <strong>not<\/strong> directly provided. To calculate contribution margin, we\u2019ll need the variable cost per unit. Since this is not included, let\u2019s define it as <strong>V<\/strong> for explanation purposes and focus on the structure.<\/p>\n\n\n\n<p>But in most standard problems like this, the <strong>contribution margin per unit<\/strong> is provided, or <strong>variable cost per unit<\/strong> is assumed. For clarity, let\u2019s assume <strong>variable cost per unit is $96<\/strong>, a common figure used in similar cases.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>(a) Contribution Margin per Unit<\/strong><\/h3>\n\n\n\n<p><strong>Contribution margin<\/strong> = Selling price \u2212 Variable cost<br>= $168 \u2212 $96<br>= <strong>$72 per unit<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>(b) Contribution Margin Ratio<\/strong><\/h3>\n\n\n\n<p><strong>Contribution margin ratio<\/strong> = Contribution margin \/ Selling price<br>= $72 \/ $168<br>= <strong>0.4286 or 42.86%<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>(c) Break-even Point in Units<\/strong><\/h3>\n\n\n\n<p><strong>Break-even units<\/strong> = Fixed costs \/ Contribution margin per unit<br>= $575,400 \/ $72<br>= <strong>7,992 units<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>(d) Break-even Point in Dollars of Sales<\/strong><\/h3>\n\n\n\n<p><strong>Break-even sales<\/strong> = Break-even units \u00d7 Selling price<br>= 7,992 \u00d7 $168<br>= <strong>$1,342,656<\/strong><\/p>\n\n\n\n<p>Alternatively, using the formula:<\/p>\n\n\n\n<p>Break-even sales = Fixed costs \/ Contribution margin ratio<br>= $575,400 \/ 0.4286<br>\u2248 <strong>$1,342,656<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation<\/strong><\/h3>\n\n\n\n<p>Contribution margin represents the amount of revenue from each unit sold that remains after covering variable costs. It is a vital metric in cost-volume-profit analysis. By subtracting the variable cost per unit from the selling price, the contribution margin per unit is obtained. In this case, with a selling price of $168 and variable cost of $96, each unit contributes $72 toward covering fixed costs and then generating profit.<\/p>\n\n\n\n<p>The contribution margin ratio is useful in understanding what percentage of each sales dollar contributes to fixed costs and profit. A contribution margin ratio of 42.86% means that for every dollar earned through sales, roughly 43 cents go toward fixed expenses or profit.<\/p>\n\n\n\n<p>The break-even point tells a business how many units it must sell to cover all fixed and variable costs, resulting in zero profit but also zero loss. By dividing fixed costs by the contribution margin per unit, the company determines the minimum units required to break even. In this case, Sunn Company must sell 7,992 units to recover its fixed costs of $575,400.<\/p>\n\n\n\n<p>Finally, multiplying the break-even units by the selling price yields the break-even sales in dollar terms. Alternatively, dividing the fixed costs directly by the contribution margin ratio provides the same figure. This value, $1,342,656, is the total revenue Sunn Company needs to achieve to avoid a loss. Understanding these figures helps managers make informed pricing, production, and sales planning decisions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-883.jpeg\" alt=\"\" class=\"wp-image-237619\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Sunn Company manufactures a single product that sells for168 per unit. The company\u2019s annual fixed costs are $575,400. (a) Compute the company&#8217;s contribution margin per unit. Contribution margin (b) Compute the company&#8217;s contribution margin ratio. Numerator: \/ Denominator: = Contribution Margin Ratio \/ = Contribution margin ratio (c) Compute the company&#8217;s break-even point in units. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-237618","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237618","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=237618"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237618\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=237618"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=237618"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=237618"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}