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A company has $1.2 million to allocate to the following budget requests from five departments: Dept. 1 Dept. 2 Dept. 3 Dept. 4 Dept. 5

A company has $1.2 million to allocate to the following budget requests from five departments: Dept. 1 Dept. 2 Dept. 3 Dept. 4 Dept. 5 $450,000210,000 $285,000 $197,500 128,000 Because the total budget requests exceed the available $1.2 million, not all the requests can be satisfied. Suppose the CFO considers the requests for departments 2 and 4 to be twice as important as those from departments 3 and 5 , and the request from department 1 to be twice as important as those from departments 2 and 4 . Further, suppose the CFO wants to make sure each department receives at least 70% of the requested amount. a. Formulate a GP model for this problem. b. Implement your model

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