!!!!!!PLEASE SOLVE QUESTION 3 ONLY !!!!!!!!!

(40pts) An industrial engineer is making production planning for the next 6 months. Demand estimates in aggregate items are 400, 800, 200, 900, 500, 600 for months 1 to 6. The company has a workforce of 100 at the beginning of the planning horizon and each worker is capable of producing 0.25 units in one workday. The number of workdays are given as 25, 18, 20, 20, 22, 19 for months 1 to 6 respectively. Hiring and firing costs are 50 and 250 liras per worker. Unit production cost is 8 liras per aggregate item during regular production hours. Overtime production is possible with an incremental cost of 7 liras per item (meaning that unit production cost during overtime is 15 liras per aggregate item). Inventory holding cost is 15 liras per unit per month. Backordering is not allowed. Beginning and ending inventory should be zero. Undertime cost is 15 liras per aggregate item. Formulate the aggregate planning problem as an LP. State all variables and costs explicitly. 3) Considering the aggregate planning LP formulation developed in Q.2. a) (20pts) Make use of an LP software to determine an optimal solution to the formulated problem in Q.2. Include the text output of the problem formulation and output of the solution in your answersheet file. b) (10pts) For the solution given in part-(a) explicitly state what should be the values of the decision variables for the optimal solution. If the optimal solution has noninteger quantities for number of workers, then round them to nearest integer quantities (it is possible for the amount of aggregate items to be nonintegers)