VERY IMPORTANT FOR ME

Question I (40 pts.) ProComes a daily budget of 320 hours of labor and 350 units of raw material to manufacture two products, If necessary, the company can employ up to 10 hours daily of overtime labor hours at the additional cost of 2TL per hour. It takes 1 labor hour and 3 units of raw material to produce une unit of product 1, and 2 Labour hours and 1 unit of raw material to produce 1 unit of product 2. The profit per unit of product 1 HOTL and that of product 2 is 12TL Let and define the daily mumber of units produced of products 1 and 2 and 2, the daily hours of overtime used. The LP model and its associated optimal simples tableau are given as ma 10x + 121-23 s.t. 11 +212-23 S320 (Labor hours) 31, +*> S350 (Raw material) S 10 (Overtime 0 0 2 TU 11 10 -19 0 T 0 1 .18 0 0 1 21 0 0 0 1 - 2256 12N 74 10 2 S a 0 0 - 01 1 III a. Determine from the tableau the optimal solution and objective value of the problem. b. Determine from the tablean the optimal value of the dual variables and the range of their sociated resources (ie right hand side values for which they remain unchanged c. Suppose that ProCo is experiencing shortage in raw material and that it cannot acquire more than 200 units a day, determine the associated optimal solution. d. Suppose that ProCo can use more than & hours of overtime daily, find the new optimum solution