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Mixed Worksheet for Linear Programming Class 12

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Sample questions

1. Question 1 [5 marks]
CBSE Board Exam 2026
Solve the following Linear Programming Problem graphically :
Maximise \(Z=12 x+18 y\)
subject to the constraints
$$ \begin{array}{r} x+y \leq 1200 \\ x-2 y \geq 0 \\ x+3 y \geq 600 \\ x \geq 0, y \geq 0 \end{array} $$
2. Question 2 [1 mark]
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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About this Mixed Worksheet

This mixed worksheet is designed for Class 12 Maths practice from Linear Programming Class 12. It uses the question types selected for this worksheet and keeps the preview representative of the complete set.

Solve the questions first, then use the separate answer key to check the method and identify concepts that need revision. For more practice, continue with the chapter quiz or another worksheet below.

Frequently asked questions

How many questions are in this mixed worksheet?

The complete worksheet contains 10 questions. This page shows a fixed preview of 2 questions.

Does the worksheet include answers?

Yes. The complete download includes a questions PDF and a separate answer key PDF.

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No. The preview is fixed and is the same for every visitor. The downloaded worksheet is generated separately.

How should I use this mixed worksheet?

Attempt the questions without the answer key, check each solution afterwards, and revise the linked chapter concepts before trying another worksheet or quiz.