1. Consider the following linear programing program: Max Z Z = 5x1 + 4x2 s. t. 2x1 + 2x2 $ 120 3x1 + 2x2 $ 150 X1 $ 40 X1,X2 20 a) Solve graphically. b) Using the graphical solution, find the range of c1 for which the optimal solution stays the same? C) Solve the problem using the SIMPLEX method (algorithm). d) Using the final tableau in c) for what range of c2 will the current solution remain optimal? e) Using the final tableau in c) for what range of bj will the current product mix remain the same? f) Solve using SOLVER