Consider the following linear program, Min B.X + 12V 1X + 3Y 27 2x + 2y 10 127 14 X,Y 0 (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 Afer you add an object to the graph you can use Graph Layers to view and edit its properties Tootekood Webssion Graphing for What is the value of the objective function at the optimal solution at , (b) Assume that the objective function coefficient for changes from 3 to 6. Use the graphical solution procedure to find the new optimal solution. (Graph the constraint ines, the feasible region, the objective function in, and the optimal solution) Graph Layers 2 Aher you wd an object to the graph you Dans Layers to view and properties V .: Websign dwig Does the optimal solution change? The extreme point Seled optimal. The value of the objective function becomes Da (e) Assume that the objective function cont for rent, but the objective function coefficient for changes from 12 to 6. Use the graphical solution procedure to find the new optimal solution (Graph the constraint Ines, the feasible region, the objective function line, and the optimal solution) Graph Layers Ater you come graph you case Orches towards properties s w Gang To Does the optimal to change There Sooma The value of the objective action becomes til Handsha Wolona Bere Campus Tal Racing (d) The computer solution for the linear program in part (a) provides the following objective coeficient range information Variable objective Allowable Allowable Coefficient Increase Decrease X 8.00000 4,00000 400000 4.00000 Y 12.00000 12.00000 How would this jove coefficient range information help you answer parts (b) and (c) prior to resolving the problem? The object coefficient mange for variabin is Since the change in part() is Select this range, we know the optimal solution Select change. The objective content range for variable is to Since the change in parte this range, we know the optimal solution Gal change