Chapter 11: Linear Programming
Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.
Syllabus Sections
Print-Ready Math Worksheet
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Worksheet Details:
- • Title: Class XII Math: Linear Programming Printable Sheet
- • Format: Print Optimized CSS stylesheet
- • Sections: Formulas checklist, 5 assessment questions, worked keys
NexPro Education Worksheet
Class XII Mathematics: Linear Programming
Section I: Key Formulas
Section II: Answer the Questions
1. Minimize and maximize Z = 600x + 400y Subject to the constraints: x + 2y ≤ 12; 2x + y ≤ 12; 4x + 5y ≤ 20; x≥ 0; y ≥ 0 by graphical method
2. Solve the following problem graphically: Minimise and Maximise Z = 3x + 9y subject to the constraints: x + 3y ≤ 60; x + y ≥ 10; x ≤ y; x ≥ 0, y ≥ 0
3. Maximise Z = 8x + 9y subject to the constraints given below : 2x + 3y ≤ 6; 3x - 2y ≤ 6; y ≤ 1; x, y ≥ 0
4. The feasible region of a ∠PR is given as follows: (i) Write the constraints with respect to the above in terms of x and y. (ii) Find the coordinate of B and C and maximize, z = x + y.
5. Minimise Z = 13x - 15y subject to the constraints x + y ≤ 7, 2x - 3y + 6 ≥ 0, x ≥ 0 and y ≥ 0.