Consider the following linear program. Min 8X + 12Y s.t. 1X + 3y > 7 2X + 2 2 10 6x + 2y 14 X, Y 20 (a) Use the graphical solution procedure to find the optimal solution. (Graph the constraint lines, the feasible region, the objective function line, and the optimal solution.) Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. O > Fill Co No Solution Hele What is the value of the objective function at the optimal solution? at (X,Y) = (b) Assume that the objective function coefficient for X changes from 8 to 6. Use the graphical solution procedure to find the new optimal solution. (Graph the constraint lines, the feasible region, the objective function line, and the optimal solution.) AU Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill No Solution e Help Does the optimal solution change? The extreme point remains optimal. The value of the objective function becomes (c) Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from 12 to 6. Use the graphical solution procedure to find the new optimal solution. (Graph the constraint lines, the feasible region, the objective function line, and the optimal solution.) 10 Graph Layors