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

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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:
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.
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.


Definitions:

Psychosocial Problems

Issues affecting both the psychological state and the social life of an individual, which may impact mental health and interpersonal relationships.

Prochaska and DiClemente

Scholars known for their Transtheoretical Model of Change, which outlines stages people go through in altering behavior.

Motivation Techniques

Strategies or methods used to encourage individuals to achieve their goals or complete tasks by enhancing their drive or willingness.

Crisis Intervention

A type of emergency assistance or therapy provided to individuals facing immediate psychological distress or life challenges.

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