Consider the linear program in Problem. The value of the optimal solution is 27. Suppose that the right-hand side for constraint 1 is increased from 10 to 11.
a. Use the graphical solution procedure to find the new optimal solution.
b. Use the solution to part (a) to determine the dual value for constraint 1.
c. The computer solution for the linear program in Problem 1 provides the following right-hand-side range information:

What does the right-hand-side range information for constraint 1 tell you about the dual value for constraint 1?
d. The dual value for constraint 2 is 0.5. Using this dual value 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 constraint2?

RHS Value 10.00000 24.00000 16.00000 Allowable Increase 1.20000 6.00000 Infinite Allowable Decrease 2.00000 6.00000 3.00000 Constraint