Question

In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource is

• A. positive
• B. negative
• C. zero
• D. infinity

Hint:

When a resource is not fully utilized in linear programming, the shadow price is zero since it does not affect the optimal solution.

Answer 1

The Correct Option is C

Step 1: Understand the concept of shadow price.
The shadow price in linear programming refers to the change in the objective function's value if there is a one-unit increase in the availability of a resource.
Step 2: Analyze the case when a resource is not fully utilized.
If a resource is not fully utilized (i.e., it is not part of the optimal solution), the shadow price of that resource is zero. This is because increasing the availability of an unused resource will not affect the optimal solution. Final Answer: \[ \boxed{0} \]