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:

Actor-Observer Difference

The bias in attribution whereby actors tend to see their own behavior as due to characteristics of the external situation, whereas observers tend to attribute actors’ behavior to the actors’ internal, personal characteristics.

Halo Effect

The tendency of our general or overall liking for a person to influence our assessment of more specific traits of that person. The halo effect can produce inaccuracy in our ratings of others’ traits and performances.

Complexity-Extremity Effect

The bias where less complex schemas lead to more extreme judgments and evaluations.

Stereotypes

Fixed sets of characteristics that are attributed to all the members of a group; simplistic and rigid perceptions of members of one group that are widely shared by others.