a.	Calculate the range of optimality for each objective function coefficient. (2 points)
b.	Calculate the dual price for each resource. (3 points)

Consider the following linear program: Max 5x1 + 7x2 S.T. X1 56 2x1 + 3x2 s 19 X1 + X2 38 X1, X220 The graphical solution to the problem is shown below. From the graph, we see that the optimal solution occurs at x1 - 5.x2 -3, and z-46. X2 8 X1 + X2 38 7 MAX 5X1 + 7X2 6 X1 5 6 5 4 Optimal X1 = 5, X2 = 3 Z = 46 2 2X1 + 3X2 19 X1 7 8 9 10