Homework Problems - Ch 3 - #1 - 6 Practice finding the Range of Optimality, Dual Value, and Range of Feasibility for Problems #1 and #3. 10 8 307)20)-27 Optimal Solution 4-4-6 1. b. The same extreme point, A = 7 and B = 3, remains optimal. The value of the objective function becomes 5(7) + 2(3) = 41 c. A new extreme point, A = 4 and B=6, becomes optimal. The value of the objective function becomes 3(4) + 4(6)= 36. d. The objective coefficient range for variable A is 2 to 6. Since the change in part (b) is within this range, we know the optimal solution, A = 7 and B = 3, will not change. The objective coefficient range for variable B is 1 to 3. Since the change in part (c) is outside this range, we have to re-solve the problem to find the new optimal solution. Homework Problems - Ch 3 - #1 - 6 Practice finding the Range of Optimality, Dual Value, and Range of Feasibility for Problems #1 and #3. 10 8 307)20)-27 Optimal Solution 4-4-6 1. b. The same extreme point, A = 7 and B = 3, remains optimal. The value of the objective function becomes 5(7) + 2(3) = 41 c. A new extreme point, A = 4 and B=6, becomes optimal. The value of the objective function becomes 3(4) + 4(6)= 36. d. The objective coefficient range for variable A is 2 to 6. Since the change in part (b) is within this range, we know the optimal solution, A = 7 and B = 3, will not change. The objective coefficient range for variable B is 1 to 3. Since the change in part (c) is outside this range, we have to re-solve the problem to find the new optimal solution