The Milwaukee Theatre Guild has just received an anonymous $250,000 donation to be used as follows:...

The Milwaukee Theatre Guild has just received an anonymous $250,000 donation to be used as follows: $7500 block grants to children’s theatre groups, $6000 grants for new playwrights, and $5000 grants for theatre scholarships. The donor has stipulated that at least eight children’s theatre groups must be funded. Other than that, the Guild may award the donation any way it sees fit. The Guild has determined the following goals:

Award at least 40 block grants (children’s theatre).
Give at least 60% of the total funding to education (children’s theatre groups and scholarships).
Keep the number of scholarships from exceeding the number of new playwright awards by more than five.
Award at least 15 total grants.

Formulate a goal program with the weight of 4 for each detrimental deviation from goal 1, a weight of 3 for every $1000 deviation from goal 2, a weight of 2 for each detrimental deviation from goal 3, and a weight of 1 for each deviation from goal 4. Solve for the recommended allocation of the funds.

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orchestra answered 11 months ago

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