Mathematics Linear Programming 1 Mark
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):