Question: Question 3: 17 marks: Consider the following linear program: Max 2X + 3Y s.t. 5X +5Y 10 1X + 3Y > 90 X, Y>0 a.

Question 3: 17 marks: Consider the following linear program: Max 2X + 3Y s.t. 5X +5Y 10 1X + 3Y > 90 X, Y>0 a. Use the graphical solution procedure to find the optimal solution. (4 Marks) b. Conduct a sensitivity analysis to determine the range of optimality for the objective function coefficients X & Y. (6 marks) c. What are the binding constraints? (1 mark) d. If the right-hand-side of the binding constraints are marginally increased, what will be the Dual Value? (6 marks) Page 3 of 5

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Question 3: 17 marks: Consider the following linear program: Max 2X + 3Y s.t. 5X +5Y 10 1X +3Y>90 X, Y > 0 c. What are the binding constraints? (1 mark) Page 3 of 5

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