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

question 61

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:
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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:

Research Hypothesis

A specific, testable prediction about the expected outcome of a scientific study.

Null Hypothesis

A default hypothesis that there is no significant effect or difference between specified populations.

Reject

In statistical hypothesis testing, it refers to the decision to not accept the null hypothesis based on the evidence from the data.

F-Ratio

A statistic used in ANOVA to compare the variance among group means to the variance within groups; a measure of variance between groups relative to variance within groups.