a) Consider the following linear program: Min 8x +12y s.t. 1x + 3y > or equal to 9 2x + 2y > or equal to 10 6x + 2y > or equal to18 A,B > or equal to 0 a) Use the graphical solution procedure to find the optimal solution.
b) Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change?Use the graphical solution procedure to find the new optimal solution.
c) Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from12 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution.