{"id":133800,"date":"2024-08-24T20:17:55","date_gmt":"2024-08-24T20:17:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=133800"},"modified":"2024-08-24T20:17:57","modified_gmt":"2024-08-24T20:17:57","slug":"which-of-the-following-combinations-is-the-most-cost-effective","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/24\/which-of-the-following-combinations-is-the-most-cost-effective\/","title":{"rendered":"Which of the following combinations is the most cost-effective?"},"content":{"rendered":"\n<p>Soft Drinks Orange<br>Two 24-packs for $20; one 24-pack for $15<\/p>\n\n\n\n<p>Root Beer<\/p>\n\n\n\n<p>One 24-pack for $18<\/p>\n\n\n\n<p>Cream Soda<\/p>\n\n\n\n<p>One 12-pack for $10<\/p>\n\n\n\n<p>A consumer needs to purchase at least 60 soft drinks for a picnic.<\/p>\n\n\n\n<p>Which of the following combinations is the most cost-effective?<\/p>\n\n\n\n<p>A.<br>2 packs of Orange and 1 pack of Cream Soda<\/p>\n\n\n\n<p>B.<br>3 one 24-pack of Orange<\/p>\n\n\n\n<p>C.<br>2 packs of Root Beer and 1 pack of Cream Soda<\/p>\n\n\n\n<p>D.<br>5 packs of cream Soda<\/p>\n\n\n\n<p>To determine the most cost-effective combination for purchasing at least 60 soft drinks, we need to calculate the cost per drink for each type and then find the total cost for each combination.<\/p>\n\n\n\n<p><strong>Cost Per Drink:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Orange:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Two 24-packs for $20: 2048=0.4167\\frac{20}{48} = 0.41674820\u200b=0.4167 dollars per drink<\/li>\n\n\n\n<li>One 24-pack for $15: 1524=0.625\\frac{15}{24} = 0.6252415\u200b=0.625 dollars per drink<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Root Beer:<\/strong>\n<ul class=\"wp-block-list\">\n<li>One 24-pack for $18: 1824=0.75\\frac{18}{24} = 0.752418\u200b=0.75 dollars per drink<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Cream Soda:<\/strong>\n<ul class=\"wp-block-list\">\n<li>One 12-pack for $10: 1012=0.8333\\frac{10}{12} = 0.83331210\u200b=0.8333 dollars per drink<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p><strong>Cost Analysis for Each Combination:<\/strong><\/p>\n\n\n\n<p><strong>A. 2 packs of Orange and 1 pack of Cream Soda<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 packs of Orange (using the more cost-effective deal): 2048\u00d748=40\\frac{20}{48} \\times 48 = 404820\u200b\u00d748=40 drinks<\/li>\n\n\n\n<li>1 pack of Cream Soda: 121212 drinks<\/li>\n\n\n\n<li>Total drinks: 40+12=5240 + 12 = 5240+12=52 drinks (which does not meet the requirement)<\/li>\n<\/ul>\n\n\n\n<p><strong>B. 3 packs of Orange<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Buying 3 packs at $15 each (not the best deal): 3\u00d715=453 \\times 15 = 453\u00d715=45 drinks<\/li>\n\n\n\n<li>Total cost: 454545 drinks at 1524\u00d745=28.125\\frac{15}{24} \\times 45 = 28.1252415\u200b\u00d745=28.125 dollars per drink<\/li>\n\n\n\n<li>Total cost: 45\u00a0drinks\u00d70.625=28.12545 \\text{ drinks} \\times 0.625 = 28.12545\u00a0drinks\u00d70.625=28.125 dollars (Note: Only 45 drinks)<\/li>\n<\/ul>\n\n\n\n<p><strong>C. 2 packs of Root Beer and 1 pack of Cream Soda<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 packs of Root Beer (24-pack each): 2\u00d718=362 \\times 18 = 362\u00d718=36 drinks<\/li>\n\n\n\n<li>1 pack of Cream Soda: 121212 drinks<\/li>\n\n\n\n<li>Total drinks: 36+12=4836 + 12 = 4836+12=48 drinks (which does not meet the requirement)<\/li>\n<\/ul>\n\n\n\n<p><strong>D. 5 packs of Cream Soda<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5 packs of Cream Soda: 5\u00d712=605 \\times 12 = 605\u00d712=60 drinks<\/li>\n\n\n\n<li>Total cost: 5\u00d710=505 \\times 10 = 505\u00d710=50 dollars<\/li>\n<\/ul>\n\n\n\n<p><strong>Conclusion:<\/strong><\/p>\n\n\n\n<p>Since the only option that meets the requirement of at least 60 drinks is option D, and it costs $50 for 60 drinks, it is the most cost-effective option given the constraints.<\/p>\n\n\n\n<p><strong>Correct Answer: D. 5 packs of Cream Soda<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Soft Drinks OrangeTwo 24-packs for $20; one 24-pack for $15 Root Beer One 24-pack for $18 Cream Soda One 12-pack for $10 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective? A.2 packs of Orange and 1 pack of Cream Soda B.3 [&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-133800","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133800","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=133800"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133800\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=133800"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=133800"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=133800"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}