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CBSE - Class 12 > Mathematics > Linear Programming Worksheets

Free CBSE - Class 12 Mathematics - Linear Programming worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.
Solve the following Linear Programming Problems graphically:
2. Minimise $Z = – 3x + 4y$ subject to $x + 2y \leq 8$, $3x + 2y \leq 12$, $x \geq 0$, $y \geq 0$.
2.
Solve the following Linear Programming Problems graphically:
3. Maximise $Z = 5x + 3y$ subject to $3x + 5y \leq 15$, $5x + 2y \leq 10$, $x \geq 0$, $y \geq 0$.
3.
Solve the following Linear Programming Problems graphically:
4. Minimise $Z = 3x + 5y$ such that $x + 3y \geq 3$, $x + y \geq 2$, $x, y \geq 0$.
4.
Solve the following Linear Programming Problems graphically:
5. Maximise $Z = 3x + 2y$ subject to $x + 2y \leq 10$, $3x + y \leq 15$, $x, y \geq 0$.
5.
Solve the following Linear Programming Problems graphically:
6. Minimise $Z = x + 2y$ subject to $2x + y \geq 3$, $x + 2y \geq 6$, $x, y \geq 0$. Show that the minimum of $Z$ occurs at more than two points.
6.
Solve the following Linear Programming Problems graphically:
7. Minimise and Maximise $Z = 5x + 10y$ subject to $x + 2y \leq 120$, $x + y \geq 60$, $x – 2y \geq 0$, $x, y \geq 0$.
7.
Solve the following Linear Programming Problems graphically:
8. Minimise and Maximise $Z = x + 2y$ subject to $x + 2y \geq 100$, $2x – y \leq 0$, $2x + y \leq 200$; $x, y \geq 0$.
8.
Solve the following Linear Programming Problems graphically:
9. Maximise $Z = – x + 2y$, subject to the constraints: $x \geq 3$, $x + y \geq 5$, $x + 2y \geq 6$, $y \geq 0$.
9.
Solve the following Linear Programming Problems graphically:
10. Maximise $Z = x + y$, subject to $x – y \leq –1$, $–x + y \leq 0$, $x, y \geq 0$.
10.
Solve the following Linear Programming Problems graphically:
1. Maximise $Z = 3x + 4y$ subject to the constraints : $x + y \leq 4$, $x \geq 0$, $y \geq 0$.
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Chapters in CBSE - Class 12 Mathematics

Relations and Functions Worksheet Inverse Trigonometric Functions Worksheet Matrices Worksheet Determinants Worksheet Continuity and Differentiability Worksheet Application of Derivatives Worksheet Integrals Worksheet Application of Integrals Worksheet Differential Equations Worksheet Vector Algebra Worksheet Three Dimensional Geometry Worksheet Probability Worksheet

Free Linear Programming Worksheets

Our worksheets are designed to help students explore various topics, practice skills and enrich their subject knowledge, to improve their academic performance. Designed by experts who have extensive experience and expertise in teaching a subject, these worksheets will improve your child's problem-solving skills and subject knowledge in a fun and interactive manner.

Check out our free customized worksheets across school boards, grades, subjects, and levels of subject knowledge. You can download, print, and share these worksheets with anyone, anywhere, anytime!

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Ajay A s
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Top Concept Videos in Mathematics Linear Programming

The Visual Strategy of Linear Programming video thumbnail

The Visual Strategy of Linear Programming

CBSE - Class 12>Mathematics>Linear Programming

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