Q2. A company has $1.2 million to allocate to the following budget requests from five departm ents: 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 am ount. a. Formulate a GP model for this problem. b. Implem ent your model and solve it. What is the optimal solution? c. Suppose CFO is willing to allocate more than $1.2 million to these budgets but regards exceeding the $1.2million figure as being twice as undesirable as not meeting the budget request for department 1 . What is the optimal solution? d. Suppose CFO regards all deviations from the original budget am ounts (including the $1.2 million available) to be equally undesirable. What solution minimizes the maximum percentage deviation from the budgeted am ounts? Q2. A company has $1.2 million to allocate to the following budget requests from five departm ents: 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 am ount. a. Formulate a GP model for this problem. b. Implem ent your model and solve it. What is the optimal solution? c. Suppose CFO is willing to allocate more than $1.2 million to these budgets but regards exceeding the $1.2million figure as being twice as undesirable as not meeting the budget request for department 1 . What is the optimal solution? d. Suppose CFO regards all deviations from the original budget am ounts (including the $1.2 million available) to be equally undesirable. What solution minimizes the maximum percentage deviation from the budgeted am ounts