Graphically solve the following problems:

Maximize profit = 8X1 + 5X2

Subject to X1 + X2 ≤ 10
X1 ≤ 6
X1, X2 ≥ 0

A) What is the optimal solution?

B) Calculate the right-hand-side of constraint 1 to 11 (instead of 10) and solve the problem. How much did the profit increase as a result of this?

C) Change the right-hand side of constraint 1 to 6 (instead of 10) and solve the problem. How much did the profit decrease as a result of this? Looking at the graph, what would happen if the right-hand -side value were to go below 6?

D) Change the right-hand-side value of constraint 1 t0 5 (instead of 10) and solve the problem