1) The Texas Consolidated Electronics Company is contemplating a research and development (R&D) program encompassing four research projects. The company is constrained from embarking on all projects by the number of available management scientists (15) and the budget available for R&D projects ($200,000). Following are the resource requirements and the estimated profit for each project: Management Scientists Required Estimated Profit ($1,000,000s) 7 0.36 9 8 4 Expense ($1,000s) 60 110 53 47 0.16 The company wants to maximize its estimated profit from these projects. Further, the following rules apply for the project selection: *If project 2 is selected, project 4 must also be selected (but not vice versa). * If project 1 is not selected, project 3 must be selected (but not vice versa). Formulate a 0-1 integer programming model for this problem Project 1 2 3 4 0.82 0.29
1) The Texas Consolidated Electronics Company is contemplating a research and development (R&D) program encompassing four research projects. The company is constrained from embarking on all projects by the number of available management scientists (15) and the budget available for R&D projects ($200,000). Following are the resource requirements and the estimated profit for each project: Management Scientists Required Estimated Profit ($1,000,000s) 7 0.36 9 8 4 Expense ($1,000s) 60 110 53 47 0.16 The company wants to maximize its estimated profit from these projects. Further, the following rules apply for the project selection: *If project 2 is selected, project 4 must also be selected (but not vice versa). * If project 1 is not selected, project 3 must be selected (but not vice versa). Formulate a 0-1 integer programming model for this problem Project 1 2 3 4 0.82 0.29
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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