Formulation 2 Max 3X + 2Y (profit) Subject to X =0, Y>=0 a) (3 pts) How does a unit increase in the right-hand side of constraint 1 affects the optimal profit? Choose the answer that best fits your solution. i. The optimal profit increases ii. The optimal profit decreases iii. The optimal profit remains the same iv. There is not an optimal profit anymore b) (3 pts) How does a unit increase in the right-hand side of constraint 3 affects the optimal profit? Choose the answer that best fits your solution i. The optimal profit increases ii. The optimal profit decreases iii. The optimal profit remains the same iv. There is not an optimal profit anymore c) (3 pts) If the right-hand side of constraint 3 increases in one unit, what is true about the new shadow price? i. The shadow price is higher than zero ii. The shadow price is zero ifi. The shadow price is lower than zero iv. The shadow price is 4.567