LD Paused ] Hiner . 129 1X = 31 20 2X + 28 2 12 (a] Use the graphical solution procedure to find the optimal solution, What is the we've of the objective function at the optimal solution? 4,1 (b) Assume that the objective function coefficient for & changes from 8 to 6. Use the graphical solution procedure to find the new optimal solution, Does the optimal solution change? The extreme point (x. 1) optimal. The value of the objective function becomes (c) Assume that the objective function coefficient for A remains B, but the objective function coefficient for Y changes from 12 to 5, Use the graphical solution procedure to find the new optimal solution Does the optimal solution change? The extreme point ( belecrew optimal. The valve of the objective function becomes (o). The computer solution for the linear program in part (@) provides the following objective coefficient range Information. Variable objective Allowable Allowable Coefficient Increase Decrease 8,60000 4.06000 12 00000 12.00000 100090 How would this objective coefficient range information help you answer parts (D) and (c) prior to re-solving the problem? The objective coen ient range for variable & is Since the change in part (b) is Seeing this range, we know the opomal solution [ Select- change. The objective coefficient range for vanable Y is to Since the change in part (C) Is [ Select.2%] this range, we know the optimal solution (:3 hard- w change