{"id":32750,"date":"2022-02-14T07:29:01","date_gmt":"2022-02-14T07:29:01","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/where-q-is-the-total-number-of-headsets-that-your-company-can-sell-in\/"},"modified":"2022-02-14T07:29:01","modified_gmt":"2022-02-14T07:29:01","slug":"where-q-is-the-total-number-of-headsets-that-your-company-can-sell-in","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/where-q-is-the-total-number-of-headsets-that-your-company-can-sell-in\/","title":{"rendered":"Where q is the total number of headsets that your company can sell in"},"content":{"rendered":"<div>\n<p>1)\u00a0 The demand equation for your company&#8217;s virtual reality video headsets is<\/p>\n<p><em>p<\/em>\u00a0=\u00a0<\/p>\n<p>where\u00a0<em>q<\/em>\u00a0is the total number of headsets that your company can sell in a week at a price of\u00a0<em>p<\/em>\u00a0dollars. The total manufacturing and shipping cost amounts to\u00a0$130\u00a0per headset.<\/p>\n<p>What is the greatest profit your company can make in a week? (Give your answer to the nearest whole number.)<\/p>\n<p>How many headsets will your company sell at this level of profit? (Give your answer to the nearest whole number.)<\/p>\n<p>How much, to the nearest $1, should your company charge per headset for the maximum profit?<\/p>\n<p>2) The number of cell phone subscribers in a country in the years 2000-2005 was projected to follow the equation\u00a0<\/p>\n<p><em>N<\/em>(<em>t<\/em>) = 39<em>t<\/em>\u00a0+\u00a062<\/p>\n<p>\u00a0million subscribers in year\u00a0<em>t<\/em>\u00a0(<em>t<\/em>\u00a0= 0 represents January 2000). The average annual revenue per cell phone user was $350 in 2000. If we assume that due to competition the revenue per cell phone user decreases continuously at an annual rate of 20%, we can model the annual revenue as<\/p>\n<p><em>R<\/em>(<em>t<\/em>) = 350(39<em>t<\/em>\u00a0+\u00a062)<em>e<\/em><sup>\u22120.2<em>t<\/em><\/sup>\u00a0million dollars.<\/p>\n<p>Determine when to the nearest 0.1 year the revenue was projected to peak.<\/p>\n<p>Determine the revenue, to the nearest $1 million, at that time.<\/p>\n<p>3) Fly-by-Night Airlines has a peculiar rule about luggage: The length\u00a0<em>l<\/em>\u00a0and width\u00a0<em>w<\/em>\u00a0of a bag must add up to at most\u00a042\u00a0inches, and the width\u00a0<em>w<\/em>\u00a0and height\u00a0<em>h<\/em>\u00a0must also add up to at most42\u00a0inches. What are the dimensions of the bag with the largest volume that Fly-by-Night will accept?<\/p>\n<p>4) I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of\u00a0$80\u00a0for the project. What are the dimensions of the vegetable patch with the largest area I can enclose?<\/p>\n<p>\u00a0<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>1)\u00a0 The demand equation for your company&#8217;s virtual reality video headsets is p\u00a0=\u00a0 where\u00a0q\u00a0is the total number of headsets that your company can sell in a week at a price of\u00a0p\u00a0dollars. The total manufacturing and shipping cost amounts to\u00a0$130\u00a0per headset. What is the greatest profit your company can make in a week? (Give your answer [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-32750","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/32750","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/comments?post=32750"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/32750\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=32750"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=32750"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=32750"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}