3-) It is desired to make a 4-month production plan in an enterprise producing two types of products (product A and product B). Demand estimations and capacities in this enterprise, where regular time (RT) and overtime (OT) options are available, are as follows: Month 1 Demand (units) A B 50 100 70 100 200 50 100 100 Capacity (machine-hour) RT OT 450 200 480 200 500 100 400 170 2 3 4 Production Product cost per unit (TL) RT OT A 30 40 B 60 72 Inventory holding cost (TL/unit- month) 10 Shortage cost (TL/unit- month) 6 Production time per unit (machine- hour) 2 Initial inventory End-of- period inventory 40 20 50 50 16 8 4 a) Define the linear programming model of the problem in a multi-product environment. (20p) b) Compose the transportation table under the assumption that the problem can be solved by the transportation method and calculate the total cost by making the first assignment. (10p)