You are faced with a linear programming objective function of: - 3161

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You are faced with a linear programming objective function of: 

Max P = $20X + $30Y 

and constraints of: 

3X + 4Y = 24 (Constraint A) 

5X – Y = 18 (Constraint B) 

You discover that the shadow price for Constraint A is 7.5 and the shadow price for Constraint B is 0. Which of these statements is TRUE?

A.   The most you would want to pay for an additional unit of A would be $7.50.

B.   You can change quantities of X and Y at no cost for Constraint B. C.   For every additional unit of the objective function you create, the price of A rises by $7.50.

D.   For every additional unit of the objective function you create, you lose 0 units of B.

Solution Description

You are faced with a linear programming objective function of:

Max P = $20X + $30Y