{"id":10004,"date":"2021-10-21T08:22:56","date_gmt":"2021-10-21T08:22:56","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/juan-hernandez-a-cuban-athlete-who-visits-the-united-states-and\/"},"modified":"2021-10-21T08:22:56","modified_gmt":"2021-10-21T08:22:56","slug":"juan-hernandez-a-cuban-athlete-who-visits-the-united-states-and","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/juan-hernandez-a-cuban-athlete-who-visits-the-united-states-and\/","title":{"rendered":"Juan hernandez, a cuban athlete who visits the united states and"},"content":{"rendered":"
\n

1. Juan Hernandez, a Cuban athlete who visits the United States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffel bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The weight and profit (in U.S. dollars) of each item are as follows:
\n
\nItem
\nWeight (lb)
\nProfit
\nDemin Jeans
\n2
\n$ 90
\nCD player
\n3
\n150
\nCompact discs
\n1
\n30
\n
\nJuan wants to determine the combination of items he should pack in his duffel bag to maximize his profit. This problem is an example of a type of integer programming problem known as a \u201cknapsack\u201d problem. Formulate and solve the problem.
\n
\n1. The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects ($300,000). Further, if project 2 is selected, project 5 must also be selected (but not vice versa). Following are the resources requirement and the estimated profit for each project.
\nProject
\nExpense (1,000s)
\nManagement scientists require
\nEstimated profit (1,000,000s)
\n1
\n50
\n6
\n0.30
\n2
\n105
\n8
\n0.85
\n3
\n56
\n9
\n0.20
\n4
\n45
\n3
\n0.15
\n5
\n90
\n7
\n0.50
\n6
\n80
\n5
\n0.45
\n7
\n78
\n8
\n0.55
\n8
\n60
\n5
\n0.40
\n
\nFormulate the integer programming model for this problem and solve it using the computer.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

1. Juan Hernandez, a Cuban athlete who visits the United States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffel bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[],"class_list":["post-10004","post","type-post","status-publish","format-standard","hentry","category-homework-help"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/10004","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=10004"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/10004\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=10004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=10004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=10004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}