Problem 5. [15 pts] Consider the following final optimal tableau, where x4, x5 and x6 are slack variables for constraints (1), (2) and (3), respectively.

d. [2pts] What is the maximum amount you would be willing to pay per unit to increase the number of units of resource (2) available? e. [6pts] Suppose the procurement manager says she can buy additional resource (3) at a cost of $3.5 per unit. What is your response?

Problem 5. (15 pts] Consider the following final optimal tableau, where x4, Xs and xs are slack variables for constraints (1), (2) and (3), respectively. Coefficient of: Right Basic Z .X'] .X .X'g X4 X's X6 Hand Variable Eq Side z (0) 1 0 0 0 3 14 .84 (1) 0 0 2.25 0 1 0.25 1 7.5 X1 (2) 0 1 -0.75 0 0 0.25 0 0.5 (3) 0 0 -0.25 1 0 0.75 1 4.5 5.5 2.5 a. [2pts] Which variables are basic in the current solution? What are their values? b. [2pts] Which variables are non-basic in the curent solution? What are their values? C. [3pts] Suppose each constraint represents the availability of different resource and the objective function is measured in dollars ($). What are the shadow prices of these resources? (1) Resource (1): (2) Resource (2): (3) Resource (3): d. [2pts] What is the maximum amount you would be willing to pay per unit to increase the number of units of resource (2) available? e. [6pts] Suppose the procurement manager says she can buy additional resource (3) at a cost of $3.5 per unit. What is your response? Problem 5. (15 pts] Consider the following final optimal tableau, where x4, Xs and xs are slack variables for constraints (1), (2) and (3), respectively. Coefficient of: Right Basic Z .X'] .X .X'g X4 X's X6 Hand Variable Eq Side z (0) 1 0 0 0 3 14 .84 (1) 0 0 2.25 0 1 0.25 1 7.5 X1 (2) 0 1 -0.75 0 0 0.25 0 0.5 (3) 0 0 -0.25 1 0 0.75 1 4.5 5.5 2.5 a. [2pts] Which variables are basic in the current solution? What are their values? b. [2pts] Which variables are non-basic in the curent solution? What are their values? C. [3pts] Suppose each constraint represents the availability of different resource and the objective function is measured in dollars ($). What are the shadow prices of these resources? (1) Resource (1): (2) Resource (2): (3) Resource (3): d. [2pts] What is the maximum amount you would be willing to pay per unit to increase the number of units of resource (2) available? e. [6pts] Suppose the procurement manager says she can buy additional resource (3) at a cost of $3.5 per unit. What is your response