a) (4 points) Suppose that the optimal solution is point f . Which of the four constraints (A, B, C, D) are the active constraints? What are the nonactive constraints? b) (4 points) Suppose that the shadow price on Constraint A is 5 and the shadow price on Constraint B is 7. From this information, is it possible to determine which point is the optimal solution? If not, why not? If yes, which point is it? c) (4 points) Can point h be the unique optimal solution? Why or why not? d) (4 points) Suppose that point g is the optimal solution. Is it possible to determine the value of the shadow price of Constraint A? If not, why not? If yes, what is it?

*Please show all your work and formulas used*

TwoSeventy, Inc. produces two products, X and Y. The firm hires you to develop a linear programming model to decide the optimal production quantity for the two products. The feasible region of the linear program is shown in the following figure. In addition to the nonnegativity constraints, the constraints for the production quantities of X and Y are given as follows. Constraint A: YS6 Constraint B: X+Y