Linear Programming — Class 12 solved problems
5 problems from this chapter, each solved step by step.
- A man has ₹ 15,000 for purchasing rice and wheat. A bag of rice and a bag of wheat cost ₹ 1,800 and ₹ 1,200 respectively. He has a storage capacity of 10 bags.
(i) Objective function: Z = 100x + 90y. (ii) Constraints: 1800x + 1200y ≤ 15000 (or 3x + 2y ≤ 25), x + y ≤ 10, x ≥ 0, y ≥ 0. (iii) (a) The man should buy 5 bags
- Solve the following Linear Programming Problem (LPP) graphically: Maximize z = 3x + 5y subject to the constraints: x + 2y ≤ 2000, x + y ≤ 1500, y ≤ 600, x ≥ 0,
The maximum value of z is 5500 at x=1000 and y=500.
- The maximum value of the function z = 7x + 5y, subject to the constraints x ≤ 3, y ≤ 2, x ≥ 0, y ≥ 0 is:
31
- Solve the following Linear Programming Problem graphically: Maximise Z = 600x + 400y subject to the constraints x + 2y ≤ 12 4x + 5y ≥ 20 2x + y ≤ 12 x, y ≥ 0 (l
The maximum value of Z is 4000 at x=4, y=4.
- 33. Solve the following Linear Programming Problem graphically: Maximise Z = 600x + 400y subject to the constraints x + 2y ≤ 12 4x + 5y ≥ 20 2x + y ≤ 12 x, y ≥
The maximum value of Z is 4000, which occurs at x = 4 and y = 4.
More Class 12 chapters
- Relations and Functions39 solved
- Inverse Trigonometric Functions10 solved
- Matrices22 solved
- Determinants33 solved
- Continuity and Differentiability44 solved
- Application of Derivatives26 solved
- Integrals41 solved
- Application of Integrals28 solved
- Differential Equations29 solved
- Vector Algebra22 solved
- Three Dimensional Geometry37 solved
- Probability16 solved