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

question 20

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: $\begin{array}{lllllll}&&&\text { Project }\\&1&2&3&4&5&6\\\hline\text { Engineers Required } & 20 & 55 & 47 & 38 & 90 & 63 \\\text { Support Personnel Required } & 15 & 45 & 50 & 40 & 70 & 70 \\\text { Profit }(\$ 1,000,000 s) & 1.0 & 1.8 & 2.0 & 1.5 & 3.6 & 2.2\end{array}$ 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:

Stress-related Absences

Absences from work attributed to psychological or physical stress.

Canadian Economy

The economic structure and performance of Canada, characterized by its natural resource industries, technology sector, and trade relationships, particularly with the United States.

Flex-hours

A work schedule that allows employees some flexibility in choosing their working hours.

Physical Agent

An entity such as heat, light, or chemicals used in medical treatment to induce changes in the body.