Selecting Projects. The Texas Electronics Company (TEC) is contemplating a research and development program encompassing eight major projects. The company is constrained from embarking on all projects by the number of available scientist (40) and the budget available for projects (\$300,000). Following are the resource requirements and the estimated profit for each project.
_______
Project Expense (\$000) Scientists Required Profit (\$000)
1 60 7 36
2 110 9 82
3 53 8 29
4 47 4 16
5 92 7 56
6 85 6 61
7 73 8 48
8 65 5 41
_______
a. What is the maximum profit, and which projects should be selected?
b. Suppose that management decides that projects 2 and 5 are mutually exclusive. That is, TEC should not undertake both. As a result, what are the revised project portfolio and the revised maximum profit?
c. Suppose that management also decides to undertake at least two of the projects involving consumer products. (These happen to be projecdts 5-8.) As aresult, what are the revised project portfolio and the revised maxumum profit?

Selecting Projects. The Texas Electronics Company (TEC) is contemplating a research and development program encompassing eight major projects. The company is constrained from embarking on all projects by the number of available scientist (40) and the budget available for projects (\$300,000). Following are the resource requirements and the estimated profit for each project.
_______
Project Expense (\$000) Scientists Required Profit (\$000)
1 60 7 36
2 110 9 82
3 53 8 29
4 47 4 16
5 92 7 56
6 85 6 61
7 73 8 48
8 65 5 41
_______
a. What is the maximum profit, and which projects should be selected?
b. Suppose that management decides that projects 2 and 5 are mutually exclusive. That is, TEC should not undertake both. As a result, what are the revised project portfolio and the revised maximum profit?
c. Suppose that management also decides to undertake at least two of the projects involving consumer products. (These happen to be projecdts 5-8.) As aresult, what are the revised project portfolio and the revised maxumum profit?