Consider the linear program in Problem 1. The value of the optimal solution is 27. Suppose that the right-hand-side for constraint 1 is increased from 10 to 11.

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

2. Use the solution to part (a) to determine the dual value for constraint 1.

3. The computer solution for the linear program in Problem 1 provides the following right-hand-side range information:

4. Constraint	RHS value	Allowable increase	Allowable Decrease
   1	10.00000	1.20000	2.00000
   2	24.00000	6.00000	6.00000
   3	16.00000	Infinite	3.00000

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

5. 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 constraint 2?

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