Consider the following linear program. MinBX + 12V 1X + 3Y 27 2X + 2% + 10 | 6X + 2 + 4 (w 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 at an afect to the graph you can use Graph Layers to www and editi I.COM What is the value of the objective function at the optimal solution? at xn- (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.) Craph Layers After you add an object to the graph you Graph Layen to view and edit its I. SON Oching Tool Does the optimal solution change? The extreme point optimal. The value of the obiective function becomes See Does the optimal solution change? The extreme point optimal. The value of the objective function becomes ter 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.) Gruph Layers Ather you add an object to the graph you can use Graph Layers to view and editis Websign Gringo See Variable Does the optimal solution change? The extreme point optimal. The value of the objective function becomes (a) The computer solution for the linear program in part (a) provides the following objective coefficient range information. Objective Allowable Allowable Coefficient Increase Decrease 8.00000 4,00000 4.00000 12.00000 12.00000 4.00000 How would this objective coefficient range information help you answer parts (b) and (c) prior to re-solving the problem? The objective coefficient range for variable X is . Since the change in part (b) is --Select--this range, we know the optimal solution --Select change. The objective coefficient range for variable Y is to |. Since the change in part (c) is Select this range, we know the optimal solution change. -Select