PLEASE SOLVE THIS PROBLEM WITHOUT EXCEL OR ANY OTHER PROGRAM..I NEED MANUAL SOLUTION.

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: Demand (units) Capacity (machine-hour) Month A B RT OT 1 50 100 450 200 2 70 100 480 200 3 200 50 500 100 4 100 100 400 170 Production Inventory End-of- cost per unit Shortage cost ($/unit- Initial Product Production time per unit (machine- hour) holding cost ($/unit- month) ($) inventory period inventory month) RT OT A 30 40 10 6 2 40 50 60 72 16 8 4 20 50 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)