Question:
Objective function of a linear programming problem is:
Objective function of a linear programming problem is:
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The term "Linear" in LPP applies to both the objective function and the constraints.
Updated On: Jan 22, 2026
- Always quadratic
- Always linear
- May be linear or quadratic depending on the problem
- May be cubic some times
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
Linear Programming Problems (LPP) deal with optimizing a linear function subject to linear constraints.
Step 2: Detailed Explanation:
By definition, in a Linear Programming Problem, the objective function \( Z = ax + by \) must be linear.
This means the variables \( x \) and \( y \) must have a degree of 1.
If the function were quadratic or cubic, it would no longer be a "Linear" programming problem.
Step 3: Final Answer:
The objective function is always linear.
Linear Programming Problems (LPP) deal with optimizing a linear function subject to linear constraints.
Step 2: Detailed Explanation:
By definition, in a Linear Programming Problem, the objective function \( Z = ax + by \) must be linear.
This means the variables \( x \) and \( y \) must have a degree of 1.
If the function were quadratic or cubic, it would no longer be a "Linear" programming problem.
Step 3: Final Answer:
The objective function is always linear.
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