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3. Consider the following linear program: Min 8X + 12Y s.t. 1X + 3Y > 9 2X + 2Y> 10 6X + 2Y > 18 А, В 2 0

3. Consider the following linear program: Min 8X + 12Y s.t. 1X + 3Y > 9 2X + 2Y> 10 6X + 2Y > 18 А, В 2 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Consider the following linear program: Min 8X + 12Y s.t. 1X + 3Y = 9 2X + 2Y > 10 6X + 2Y > 18 А, В 2 0 a. Use the graphical solution procedure to find the optimal solution. b. Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. c. Assume that the objective function coefficient for X remains 8, but the objective func- tion coefficient for Y changes from 12 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. d. The computer solution for the linear program in part (a) provides the following objec- tive coefficient range information:
Transcribed Image Text:3. Consider the following linear program: Min 8X + 12Y s.t. 1X + 3Y = 9 2X + 2Y > 10 6X + 2Y > 18 А, В 2 0 a. Use the graphical solution procedure to find the optimal solution. b. Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. c. Assume that the objective function coefficient for X remains 8, but the objective func- tion coefficient for Y changes from 12 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. d. The computer solution for the linear program in part (a) provides the following objec- tive coefficient range information:
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