Class CBSE Class 12 Mathematics Linear Programming Q #1736
KNOWLEDGE BASED
APPLY
1 Marks 2026 AISSCE(Board Exam) MCQ SINGLE
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
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Correct Answer: B

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Detailed Solution

Step 1: Define Linear Programming Components

A Linear Programming Problem (LPP) consists of three main components: the objective function, the constraints, and the non-negativity restrictions.

Step 2: Identify the Objective Function

The linear function $Z = ax + by$, which is to be maximized or minimized subject to certain constraints, is formally defined in the CBSE Class 12 curriculum as the objective function.

Step 3: Evaluate the Options

Option (A) 'feasible function' is not a standard term in LPP. Option (C) 'optimal function' is incorrect as 'optimal' refers to the solution, not the function itself. Option (D) 'constraint' refers to the linear inequalities that restrict the variables.

Final Answer: Option (B)

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Pedagogical Audit
Bloom's Analysis: This is an APPLY question because it requires the student to recall and correctly apply the standard terminology used in the Linear Programming chapter of the CBSE syllabus.
Knowledge Dimension: CONCEPTUAL
Justification: The question tests the student's understanding of the fundamental definitions and nomenclature of LPP models.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE (Textbook). This question directly assesses the foundational definitions provided in the NCERT textbook for the Linear Programming unit.

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