How much should you be willing to pay for a unit increase in a particular right hand side value

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Assume both X and Y must be non-negative!

Given:

Max Z = 2x + 2y

ST

3x + y <= 6

x + 4y <= 8

(1) Create a graph

(2) Find the corner points

(3) Which is the optimal solution?

(5) What is the current ratio?

(7) What range of values will cause each corner point to become the optimal solution?

(8) Are there values for which there are multiple optimal solutions?

(9) By how much can you change each constraint's right hand side before the current basis changes?

(10) Does changing each constraints right hand side increase profit? Do some changes result in a decrease?

(11) How much should you be willing to pay for a unit increase in a particular right hand side value?

    • 8 years ago
    How much should you be willing to pay for a unit increase in a particular right hand side value
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