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 resource requirements and the estimated profit for each project:

Formulate the integer programming model for this problem and solve it by using thecomputer.

Expense Management Estimated Profit Project (S1,000s) Scientists Required ($1,000,000s) S 60 110 53 47 92 85 73 65 $0.36 0.82 0.29 0.16 0.56 0.61 0.48 041 4