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As Treasurer of the School PTA, You Chair the Committee

Question 32

Essay

As treasurer of the school PTA, you chair the committee to decide how the $20,000 raised by candy sales will be spent. Four kinds of projects have been proposed, and facts on each are shown below. As treasurer of the school PTA, you chair the committee to decide how the $20,000 raised by candy sales will be spent. Four kinds of projects have been proposed, and facts on each are shown below.   ​ Develop a goal programming model that would represent these goals and priorities. Priority 1 Goal 1 Spend the entire $20,000. Goal 2 Do not use more than 50 person-days of volunteer time Priority 2 Goal 3 Provide at least as many encyclopedias and computers as requested. Goal 4 Provide at least as many field trips as requested. Goal 5 Do not provide any more basketball goals than requested.
Develop a goal programming model that would represent these goals and priorities.
Priority 1
Goal 1
Spend the entire $20,000.
Goal 2
Do not use more than 50 person-days of volunteer time
Priority 2
Goal 3
Provide at least as many encyclopedias and computers as requested.
Goal 4
Provide at least as many field trips as requested.
Goal 5
Do not provide any more basketball goals than requested.

Correct Answer:

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Let
B = number of basketball goals
E = n...

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