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 (S300,000). 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 Management Estimated Profit
($1,000s) Scientists required (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.

Answer 1

Answer

Step-by-step explanation:

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 (S300,000). 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 Management Estimated Profit

($1,000s) Scientists required (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.