Question: 4) Consider the following linear programing problem: P = 2x + 3y subject to 2x + 5y s 25 Resource 1 3x + 2y s

4) Consider the following linear programing problem: P = 2x + 3y subject to 2x + 5y s 25 Resource 1 3x + 2y s 19 Resource 2 as well as x 20 and y 20. 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" (yes or no)? How do you know? explain in words not in equations or graphs

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