Q1: Consider the following linear program: a. Min2x+3y s.t. x+3y218 x+5y220 4x+3y227 Lyell} Use the graphical solution procedure to nd the optimal solutions and value. b. Assume that the objective function coefcient for X changes from 2 to 3. Use a graphical procedure to nd whether the optimal solution changes, and if it does, nd the new optimal solution and value. Assume that the objective function coefficient for X changes back to 2, but the objective function coefcient for Y changes from 3 to 8. Use a graphical procedure to nd whether the optimal solution changes, and if it does, nd the new optimal solution and value accurately. The computer solution for the linear program in part (a) provides the following objective coefcient range information: DBJECTIVE COEFFICIENT RANGES Variable Lower Limit Current Value Upper Limit X 1.000 2.000 4.000 Y 1.500 3.000 6.000 How would this objective coefcient range information help you answer parts (b) and (c) prior to re-solving the