7-31 Consider the following LP problem:

What is the optimal solution to this problem? Solve it graphically.

If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution?

Instead of an increase in the profit coefficient X to $8, suppose that profit was overestimated and should only have been $3. Does this change the optimal solution?

[QX] 7-32 Consider the LP formulation given in Problem 7-31. If the second constraint is changed from to what effect will this have on the optimal solution?

PLEASE SHOW WORKING USING EXCEL AND OUTLINE STEPS IN DETAILS. Thanks :)