A personal chef charges $140 per four-person meal; her monthly expenses are $2800. How many four-person meals must he sell in order to make a profit of at least $4000?<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find the number of four-person meals the chef must sell to make a profit of at least $4000, let’s break down the problem step by step:<\/p>\n\n\n\n The chef charges $140 per four-person meal. Therefore, for each meal sold, the chef earns $140 in revenue.<\/p>\n\n\n\n The chef needs to make a profit of at least $4000. However, the chef also has monthly expenses of $2800. So, the total amount of money the chef needs to cover both expenses and make the desired profit is: Total required revenue=Expenses+Desired profit\\text{Total required revenue} = \\text{Expenses} + \\text{Desired profit} Total required revenue=2800+4000=6800\\text{Total required revenue} = 2800 + 4000 = 6800<\/p>\n\n\n\n Let the number of meals the chef needs to sell be denoted as xx. The total revenue from selling xx meals is: Revenue from x meals=140x\\text{Revenue from } x \\text{ meals} = 140x<\/p>\n\n\n\n To make at least $6800 in revenue, we set up the following inequality: 140x\u22656800140x \\geq 6800<\/p>\n\n\n\n Now, solve for xx to find the number of meals the chef needs to sell: x\u22656800140=48.57x \\geq \\frac{6800}{140} = 48.57<\/p>\n\n\n\n Since the chef can’t sell a fraction of a meal, round up to the next whole number. Therefore, the chef needs to sell at least 49 meals<\/strong> to make a profit of at least $4000.<\/p>\n\n\n\n The chef must sell 49 four-person meals<\/strong> to make a profit of at least $4000, covering both expenses and the desired profit margin.<\/p>\n","protected":false},"excerpt":{"rendered":" A personal chef charges $140 per four-person meal; her monthly expenses are $2800. How many four-person meals must he sell in order to make a profit of at least $4000? The correct answer and explanation is: To find the number of four-person meals the chef must sell to make a profit of at least $4000, […]<\/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-239087","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239087","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=239087"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239087\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=239087"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=239087"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=239087"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}1. Calculate the revenue per meal<\/strong>:<\/h3>\n\n\n\n
2. Calculate the total amount the chef needs to earn<\/strong>:<\/h3>\n\n\n\n
3. Set up the equation to find the number of meals<\/strong>:<\/h3>\n\n\n\n
4. Solve for xx<\/strong>:<\/h3>\n\n\n\n
Conclusion:<\/h3>\n\n\n\n