4. Consider the linear program in Problem 3. The value of the optimal solution is 48. Sup- pose that the right-hand side for constraint 1 is increased from 9 to 10.

a. Use the graphical solution procedure to find the new optimal solution.

b. Use the solution to part (a) to determine the shadow price for constraint 1.

c. The sensitivity report for the linear program in Problem 3 provides the following right- hand-side range information:

What does the right-hand-side range information for constraint 1 tell you about the

shadow price for constraint 1?

d. The shadow price for constraint 2 is 3. Using this shadow price and the right-hand-side

range information in part (c), what conclusion can be drawn about the effect of changes to the right-hand side of constraint 2?