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.

Please fill in the yellow blanks

Texas Consolidated Electroale Company constraints Project objective Maximize Profits Estimated Prolt Expense (S1A00s) scientist required CIA00A00s) Project Selection Please include the following constraints in your solutions Notet project 5 project 2 Note: All projects must be integer (1 or 0)