If the profit contributions (objective function coefficients) for variable E increases from 63 to 70 and variable S decreases from 95 to 92, will the optimal values for the decision variables still remain the same (explain)? (Show detail work)

If so, calculate the new objective function value. (Show detail work)

We just found out that we can obtain an additional 5 units of the resource that constraint 1s right side represents. The price is $125 for all 5 units and we know its a SUNK cost. Would you accept the additional units? Explain your answer using information on the above output.

If constraint 2s right hand side were to decrease by 100 units, would the corresponding dual price still be valid? Explain your answer referring to the output on the previous page.

No matter if the dual price is still valid or not in the previous question, calculate the new objective function using the output on the previous page for a maximization problem.

FIGURE 3.17 THE MANAGEMENT SCIENTIST SOLUTION FOR THE QUALITY AIR CONDITIONING PROBLEM Objective Function Value = 16440.000 Variable Value Reduced Costs 80.000 120.000 0.000 0.000 0.000 24.000 Constraint Slack/Surplus Dual Prices 0.000 0.000 320.000 31.000 32.000 0.000 OBJECTIVE COEFFICIENT RANGES Variable Lower Limit Current Value Upper Limit 47.500 87.000 No Lower Limit 63.000 95.000 135.000 75.000 126.000 159.000 RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit WN 160.000 200.000 2080.000 200.000 320.000 2400.000 280.000 400.000 No Upper Limit