Course Solutions Uncategorized (Answered) : Explain graphically how to determine the shadow price of a binding constraint in an LP with two variables. Show also the formula

(Answered) : Explain graphically how to determine the shadow price of a binding constraint in an LP with two variables. Show also the formula

Explain graphically how to determine the shadow price of a binding constraint in an LP with two variables. Show also the formulation of your LP.

Expert Answer


Shadow price for a binding constraint can be non-zero or zero. Its sign depends on minimization or maximization problem. The type of a constraint can be ?, ?, or =.

Shadow price of a constraint represents the rate of change of optimal value when there is a marginal change in the constraint. The shadow price may be positive, negative, or, zero.

A linear program in two variables,

maximize, 30a + 10b

subject to constraints,

5a + 2b

OR

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