Figure 4

. Use Excel solver to solve the following linear programming model to answer the questions that follow:

Min Z = -3X1 + X2 + X3

s.t. X1 -2X2 + X3 <= 11

-4X1 + X2 + 2X3 >= 3

2X1 - X3 = -1

X1, X2, X3 >= 0

Based on Figure 4, at the optimal solution the value of the slack variable is:

Based on Figure 4, the value of the surplus variable at the optimal solution is:

Based on Figure 4, what is the value of the objective function at the optimal solution?

Based on Figure 4, what is the optimal value of X3?

Based on Figure 4, at the optimal solution, how many constraints are not binding?