Problem 3: Consider below the linear programming problem: (10 marks) Max 3A+2B sit: 1A+1B510 3A+1B524 1A+2BS16 A,BZO The value of the optimal solution is 27. Suppose that the right-hand side for consraint1 is increased from 10 to 11. a. Use the graphical solution procedure to find the new optimal solution. b. Use the solution to part a to determine the shadow price for constraint 1. c. The sensitivity analysis for the linear program in this problem provides the following right-hand side range information: Constraint Constraint R.H. side Allowable increase 1.20 Allowable decrease 2 10 24 16 Infinite What does the right-hand side range information for constraint 1 tell you about the shadow price for constraint 1? d. The shadow price for constraint 2 is 0.5. Using this shadow price and the right-hand-side range information in part (c), what conclusion can you draw about the effect of changes to the right-hand side of constraint 2