Refer to the computer solution of Problem 12 in Figure 3.17.a. Identify the range of optimality for each objective function coefficient.b. Suppose the profit for the economy model is increased by $6 per unit, the profit for the standard model is decreased by $2 per unit, and the profit for the deluxe model is increased by $4 per unit. What will the new optimal solution be?c. Identify the range of feasibility for the right-hand-side values.d. If the number of fan motors available for production is increased by 100, will the dual value for that constraint change? Explain.

Figure 3.17

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Optimal Objective Value = 16440.00000 Variable Value Reduced Cost E 80.00000 0.00000 120.00000 0.00000 D 0.00000 -24.00000 Constraint Slack/Surplus Dual Value 1. 0.00000 31.00000 2 0.00000 32.00000 3 320.00000 0.00000 Objective Allowable Allowable Variable Coefficient Increase Decrease E 63.00000 12.00000 15.50000 95.00000 31.00000 8.00000 D 135.00000 24.00000 Infinite RHS Allowable Allowable Constraint Value Increase Decrease 200.00000 80.00000 40.00000 320.00000 80.00000 120.00000 2400.00000 Infinite 320.00000