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As a treasurer of your school, you chair the committee to decide how the $20,000 raised by candy sales will be spent. Four kinds of

As a treasurer of your school, 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.

Project # Requested Unit Cost Volunteers Needed (Person-days, each)
Basketball goals 12 $400 2
Encyclopedia sets 5 $750 0
Field trips 6 $300 3
Computer stations 20 $800 .5

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.

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