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 scientists (40) and the budget available for projects ($300,000). Following are the resource requirements and the estimated profit for each project:

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 projects 58.) As a result, what are the revised project portfolio and the revised maximum profit?

Solve the problem in R programming Language?

Profit ($000) 36 82 29 Scientists equired Expense ($000) 60 110 53 147 192 185 173 165 Project 3 4 5 6 8 56 61 48 8 5 8