{"id":113643,"date":"2023-01-28T05:58:19","date_gmt":"2023-01-28T05:58:19","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/a-company-makes-a-single-product-on-two-separate-production-lines-a\/"},"modified":"2023-01-28T05:58:19","modified_gmt":"2023-01-28T05:58:19","slug":"a-company-makes-a-single-product-on-two-separate-production-lines-a","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/a-company-makes-a-single-product-on-two-separate-production-lines-a\/","title":{"rendered":"a company makes a single product on two separate production lines, a"},"content":{"rendered":"<div>\n<p>\u00a0\u00a0<\/p>\n<p>(1) Find the maximum value of <em>z<\/em> = 5<em>x<\/em> &#8211; 2<em>y<\/em> subject to the constraints <br \/><em>x<\/em> + <em>y<\/em> \u2265 2<br \/>2<em>x<\/em> + 3<em>y<\/em> \u2264 12<br \/>3<em>x<\/em> + 2<em>y<\/em> \u2264 12<br \/><em>x<\/em> \u2265 0, <em>y<\/em> \u2265 0<\/p>\n<p>(2) Set up the objective function and constraints and then solve for the following:<br \/>A company makes a single product on two separate production lines, A and B. The company&#8217;s labor force is equivalent to 1,000 hours per week, and it has $3,000 outlay weekly for operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item on A is $5 and on B is $4. How many items should be produced on each line to maximize the total output?<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0\u00a0 (1) Find the maximum value of z = 5x &#8211; 2y subject to the constraints x + y \u2265 22x + 3y \u2264 123x + 2y \u2264 12x \u2265 0, y \u2265 0 (2) Set up the objective function and constraints and then solve for the following:A company makes a single product on two [&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-113643","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/113643","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=113643"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/113643\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=113643"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=113643"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=113643"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}