Tower Engineering Corporation Is Considering Undertaking Several Proposed Projects for the Next

question 18

Essay

Tower Engineering Corporation is considering undertaking several proposed projects for the next fiscal year.The projects,the number of engineers and the number of support personnel required for each project,and the expected profits for each project are summarized in the following table:
Formulate an integer program that maximizes Tower's profit subject to the following management constraints:
1)Use no more than 175 engineers
2)Use no more than 150 support personnel
3)If either project 6 or project 4 is done,both must be done
4)Project 2 can be done only if project 1 is done
5)If project 5 is done,project 3 must not be done and vice versa
6)No more than three projects are to be done.

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Definitions:

Stock Holdings

The shares of stock that an individual or institution owns in various companies.

Stock Market

A public market for buying, selling, and trading company shares and securities.

Long-term Real Rate

The interest rate on a long-term loan or investment, adjusted for the effects of inflation, reflecting the real cost of borrowing or the real yield on an investment.

Bonds

Fixed-income securities where an investor loans money to an entity (corporate or sovereign) which borrows the funds for a defined period of time at a variable or fixed interest rate.