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As Part of Its Welfare to Work Program, the Georgia

Question 51

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As part of its Welfare to Work program, the Georgia legislature has allocated $28,800,000 to a new program designed to get skilled and unskilled workers off welfare.Unskilled workers would be paid $7.20 per hour whereas skilled workers would be paid $12.00 per hour under this program.The goals of the program are: (1) to generate at least 2,000,000 man-hours of work;(2) having at least as many skilled hours as unskilled hours; and, (3) utilize no more than 800,000 skilled hours (beyond that it will be "make work".)
A.Formulate this problem as a preemptive goal programming model.
B.What is the optimal allocation of hours for this situation.

Correct Answer:

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A.(P1: MIN U1
P2: MIN U2
P3: MIN E3
S.T.7....

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