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This CBSE Past Year MCQ Quiz covers Linear Programming Class 12 for Class 12 · Maths · CBSE. Practise the questions in the interactive quiz and check your answers.

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Maths Linear Programming Class 12 MCQ and Assertion Questions | CBSE CBSE Past Year MCQ Quiz

Question 1 of 3

CBSE Board Exam 2024

Of the following, which group of constraints represents the feasible region given below?

A \(\mathrm{x}+2 \mathrm{y} \leq 76,2 \mathrm{x}+\mathrm{y} \geq 104, \mathrm{x}, \mathrm{y} \geq 0\) B \(\mathrm{x}+2 \mathrm{y} \leq 76,2 \mathrm{x}+\mathrm{y} \leq 104, \mathrm{x}, \mathrm{y} \geq 0\) C \(\mathrm{x}+2 \mathrm{y} \geq 76,2 \mathrm{x}+\mathrm{y} \leq 104, \mathrm{x}, \mathrm{y} \geq 0\) D \(\mathrm{x}+2 \mathrm{y} \geq 76,2 \mathrm{x}+\mathrm{y} \geq 104, \mathrm{x}, \mathrm{y} \geq 0\)

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Question 2 of 3

CBSE Board Exam 2025

Assertion (A) : Every point of the feasible region of a Linear Programming Problem is an optimal solution.
Reason (R) : The optimal solution for a Linear Programming Problem exists only at one or more corner point(s) of the feasible region.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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Question 3 of 3

CBSE Board Exam 2025

A factory produces two products X and Y . The profit earned by selling X and Y is represented by the objective function \(\mathrm{Z}=5 x+7 \mathrm{y}\), where \(x\) and y are the number of units of X and Y respectively sold. Which of the following statement is correct?

A The objective function maximizes the difference of the profit earned from products X and Y . B The objective function measures the total production of products X and Y . C The objective function maximizes the combined profit earned from selling X and Y . D The objective function ensures the company produces more of product X than product Y .

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