- Given The Linear Programming Problem Below Where 1 Represents The Number Of Belts A Company Produces And 22 Represents T 1 (29.7 KiB) Viewed 9 times
Given the linear programming problem below where 1 represents the number of belts a company produces and 22 represents the number of pairs of gloves produced. The first constraint is for the number of square yards leather available and the second for the number of hours of skilled labor available. Max : =4, +372 s.t. 1 + 540 2.1; + I, S 60 The solution is 11 = 12 = 20 with max 2 = 140. The final tableau is shown below. 32:1883 This Basis 1 0 0 2 1 140 140 0 0 12-1 20 20 010-11 20 *1 = 20 Use this information to answer the following questions 1. Show that if c, the coefficient of sy in the objective function, is between 1 and 5 the current basis remains optimal 2. Supposee = 5. Find the new maximum value. 3. Show that if c, is between 2 and 4 the current basis remains optimal, 4. Show that if the available leather is between 30 and 60 yards the current basis remains optimal. 5. Show tha if the number of hours of skilled labor is between 40 and 80 the current basis remains optimal 6. The company is considering manufacturing leather hats. Each hat would contribute $5 to profits and would use 2 yards of leather and 2 hours of skilled labor. Should the company manufacture hats? Bonus - 10 Points Find the amount that hats should contribute to profits on order to make the company indifferent to manufacturing them,