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Маx 63E + 95S + 135D s.t. 1E + 1S + 1D s 240 Fan motors Cooling coils Manufacturing time 1E + 25 + 4D s 360 14D s 2,500 E, S, D 2 0 8E + 125 +

Маx 63E + 95S + 135D s.t. 1E + 1S + 1D s 240 Fan motors Cooling coils Manufacturing time 1E + 25 + 4D s 360 14D s 2,500 E, S, D 2 0 8E + 125 +

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The near program ng IoderTor the probiemis as TOTOWS. Маx 63E + 95S+ 135D s.t. 1E + 1S + 1D s 240 Fan motors 1E + 25 + 4D s 360 Cooling coils Manufacturing time 8E + 125 + 14D s 2,500 E, S, D 2 0 The computer solution is shown below. Optimal Objective Value - 18960.00000 Variable Value Reduced Cost E 120.00000 0.00000 120.00000 0.00000 0.00000 -24.00000 Constraint Slack/Surplus Dual Value 0.00000 31.00000 2 0.00000 32.00000 3 100.00000 0.00000 TEEE Allowable Objective Coefficient Allowable Variable 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 240.00000 25.00000 60.00000 2 360.00000 25.00000 120.00000 3 2500.00000 Infinite 100.00000 (a) Identify the range of optimality for each objective function coefficient. (If there is no upper or lower limit, enter NO LIMIT.) to to to (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? units units D units profit 24 (c) Identify the range of feasibility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.) constraint 1 to constraint 2 to constraint 3 to (d) If the number of fan motors available for production is increased by 45, will the dual value for that constraint change? Explain. O Yes, the dual value will change because 45 is greater than the allowable increase of 12. O Yes, the dual value will change because 45 is greater than the allowable increase of 25. O No, the dual value will not change because 45 is less than the allowable increase of 265. O No, the dual value will not change because there is no upper limit to how much the constraint can increase.
Transcribed Image Text:The near program ng IoderTor the probiemis as TOTOWS. Маx 63E + 95S+ 135D s.t. 1E + 1S + 1D s 240 Fan motors 1E + 25 + 4D s 360 Cooling coils Manufacturing time 8E + 125 + 14D s 2,500 E, S, D 2 0 The computer solution is shown below. Optimal Objective Value - 18960.00000 Variable Value Reduced Cost E 120.00000 0.00000 120.00000 0.00000 0.00000 -24.00000 Constraint Slack/Surplus Dual Value 0.00000 31.00000 2 0.00000 32.00000 3 100.00000 0.00000 TEEE Allowable Objective Coefficient Allowable Variable 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 240.00000 25.00000 60.00000 2 360.00000 25.00000 120.00000 3 2500.00000 Infinite 100.00000 (a) Identify the range of optimality for each objective function coefficient. (If there is no upper or lower limit, enter NO LIMIT.) to to to (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? units units D units profit 24 (c) Identify the range of feasibility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.) constraint 1 to constraint 2 to constraint 3 to (d) If the number of fan motors available for production is increased by 45, will the dual value for that constraint change? Explain. O Yes, the dual value will change because 45 is greater than the allowable increase of 12. O Yes, the dual value will change because 45 is greater than the allowable increase of 25. O No, the dual value will not change because 45 is less than the allowable increase of 265. O No, the dual value will not change because there is no upper limit to how much the constraint can increase.
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