- RJ 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 Pis optimized) (5 marks) b) Will the optimal solution you found in part "a" remain optimal if coefficient of changes to 1 in the "objective function" (yes or no)? How do you know? explain in words not in equations or graphs. (3 marks) ID Page view A Read aloud | Draw Consider ure Tonowing wear program problem. LO 47 Highlight 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 Pis optimized) (5 marks) b) Will the optimal solution you found in part "a" remain optimal if coefficient ofx changes to 1 in the "objective function" (yes or no)? How do you know? explain in words not in equations or graphs. (3 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. (3 marks) Assignment #4 c) Will the solution remain optimal is amount of Resource 2 changes to 20 yes or no)? How do you know? explain in words not in equations or graphs. (2 marks)