{"id":66723,"date":"2022-05-30T10:40:30","date_gmt":"2022-05-30T10:40:30","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/utility-maximization-problems-econ-montclair-state-university\/"},"modified":"2022-05-30T10:40:30","modified_gmt":"2022-05-30T10:40:30","slug":"utility-maximization-problems-econ-montclair-state-university","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/utility-maximization-problems-econ-montclair-state-university\/","title":{"rendered":"Utility maximization problems | ECON | Montclair State University"},"content":{"rendered":"<div>\n<p>\u00a0<\/p>\n<p>Cobb-Douglas utility function<\/p>\n<p>Let the utility function be\u00a0<\/p>\n<p>u(x,y)=x3y7.<\/p>\n<p>Let the price of good\u00a0xbe\u00a0pand the price of good\u00a0ybe\u00a0qand the income be\u00a0I.<\/p>\n<p>Applying the method of Lagrange multiplier, find the utility maximizing consumption bundle (x\u2217,y\u2217).<\/p>\n<p>Also determine the value of Lagrange multiplier\u00a0\u03bb\u2217.<\/p>\n<p>2. Quasi-linear utility function<\/p>\n<p>Let the utility function be\u00a0<\/p>\n<p>u(x,y)=x+0.1ln\u2061y.<\/p>\n<p>Let the price of good\u00a0xbe $1per unit and the price of good\u00a0ybe $pper unit and the income be\u00a0I.<\/p>\n<p>Applying the method of Lagrange multiplier, find the utility maximizing consumption bundle (x\u2217,y\u2217).<\/p>\n<p>Also determine the value of Lagrange multiplier\u00a0<\/p>\n<p><strong>Hint:\u00a0<\/strong>It is useful to note that\u00a0dln\u2061ydy=1y.<\/p>\n<p>\u00a0<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 Cobb-Douglas utility function Let the utility function be\u00a0 u(x,y)=x3y7. Let the price of good\u00a0xbe\u00a0pand the price of good\u00a0ybe\u00a0qand the income be\u00a0I. Applying the method of Lagrange multiplier, find the utility maximizing consumption bundle (x\u2217,y\u2217). Also determine the value of Lagrange multiplier\u00a0\u03bb\u2217. 2. Quasi-linear utility function Let the utility function be\u00a0 u(x,y)=x+0.1ln\u2061y. Let the price [&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-66723","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/66723","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=66723"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/66723\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=66723"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=66723"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=66723"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}