please show work

8. (Graphical Sensitivity Analysis Exercise) NO TORA ALLOWED! Given the LP MaximizesubjecttoandZ=11x+3y4x+y122x+y8x0,y0 (Constraint 1) (Constraint 2) The feasible region is graphed below. Optimal solution: (x,y)=(2,4);Z=34 Dual prices for Constraint 1 and Constraint 2 are $2.50 and $0.50, respectively. a. [4 points] Determine the feasibility range for the right-hand sde of Constraint 1. Show your work. Again, do not use TORA! 4x+y12between4&12 8and16 b. [4 points] Determine the feasibility range for the right-hand side of Constraint 2 Show your work. Again, do not use TORA! 2x+y8between2&8 6 and R4(2)+412 c. [ 4 points] Suppose Constraint 2 changes to 2x+y11. What is the new optimal value of Z ? Why? Again, do not use TORA! Z=35.5 d. [4 points] If the objective function changes to 9x+7y, will the optimal solution to the original LP change? If so, explain why and give the new optimal solution and value of Z. If not, explain why not Again, do not use TORA! ()