Appeared in: 2026 (3 sets)
In a linear programming problem, the linear function which has to be maximized or minimized is called
(A) a feasible function
(B) an objective function
(C) an optimal function
(D) a constraint
✓ Verified CBSE Marking Scheme
Official Evaluation Steps & EL10 Insight
Subject: CBSE Class 12 Mathematics
Marks Allocation: 1 Mark
Step 1 (Definition & Governing Law): [½ Mark]
According to the NCERT definition of Linear Programming Problems (LPP), a linear function of the form $Z = ax + by$, where $a$ and $b$ are constants, which has to be maximized or minimized is called the Objective Function.
Step 2 (Step-by-Step Identification): [¼ Mark]
Evaluating the given options based on LPP terminology:
- Feasible function: Incorrect. The "Feasible Region" is the set of all points satisfying the constraints, not the function itself.
- Objective function: Correct. This is the standard term for the optimization target.
- Optimal function: Incorrect. "Optimal Value" refers to the maximum or minimum value obtained, not the function.
- Constraint: Incorrect. Constraints are the linear inequalities or restrictions like $ax + by \leq c$.
Step 3 (Final Concluded Answer): [¼ Mark]
The linear function to be maximized or minimized is the objective function.
Correct Option: (B) an objective function
💡 EL10 Concept Insight (Easy to Understand):