(See Solution) The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The
Question: 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.
| Project |
Expense
($1,000s) |
Management Scientists required |
Estimated Profit
(1,000,000s) |
| 1 | 50 | 6 | 0.30 |
| 2 | 105 | 8 | 0.85 |
| 3 | 56 | 9 | 0.20 |
| 4 | 45 | 3 | 0.15 |
| 5 | 90 | 7 | 0.50 |
| 6 | 80 | 5 | 0.45 |
| 7 | 78 | 8 | 0.55 |
| 8 | 60 | 5 | 0.40 |
Formulate the integer programming model for this problem and solve it using the computer.
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