The CFO for the Shelton Corporation has $1.2 million to allocate to the following budget
requests from five departments:
Dept. 1 : $450,000
Dept. 2: $310,000
Dept. 3: $275,000
Dept. 4: $187,500
Dept. 5: $135,000
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 3 to be
twice as important as those from departments 4 and 5, and the request from department
1 to be twice as important as those from departments 2 and 3. Further, suppose the
CFO wants to make sure each department receives at least 70% of the request amount.
*Formulate a Goal Programming model for this problem.