4) Consider the following linear programing problem: P = 2x + 3y subject to 2x + 5y = 0 . a) Use the method of

4) Consider the following linear programing problem: P = 2x + 3y subject to 2x + 5y <= 20Resourc 1 3x + 2y <= 17 Resource 2 as well as x >= 0 and y >= 0 . a)

Use the method of corners ( showing your graph and corner points) to solve this problem. (i.e. Find the number of x and y so that P is optimized) (5 marks)

b) Will the optimal solution you found in part "a" remain optimal if coefficient of x changes to 1 in the "objective function"? How do you know? (3 marks)

c Will the solution remain optimal is amount of Resource 2 changes to 20? How do you know? (2 marks)