Quantitative Methods Question Help 3000 point offered

Quantitative Methods Question Help 3000 point offered

Need to solve using CRAMER’S RULE:

Consider the following linear program:

Max s.t.

3A + 2B

1A + 1BAc€¦10

3A + 1BAc€¦24

1A + 2BAc€¦16

A, B > 0

 

Quantitative Methods Question Help 3000 point offered

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:

RHS Allowable Allowable

Constraint Value Increase 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?

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 constraint 2?

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