Class 12 Maths Chapter 12 LINEAR PROGRAMMING EXERCISE 12.1
NCERT Solutions for Class 12 Maths Chapter 12 LINEAR PROGRAMMING EXERCISE 12.1 Questions 1 to 10
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Maximise Z = 3x + 4y
subject to the constraints: x + y ≤ 4, x ≥ 0, y ≥ 0.
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Minimise Z = -3x + 4y
subject to x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0.
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Maximise Z = 5x + 3y
subject to 3x + 5y ≤ 15, 5x + 2y ≤ 10, x ≥ 0, y ≥ 0.
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Minimise Z = 3x + 5y
such that x + 3y ≥ 3, x + y ≥ 2, x, y ≥ 0.
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Maximise Z = 3x + 2y
subject to x + 2y ≤ 10, 3x + y ≤ 15, x, y ≥ 0.
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Minimise Z = x + 2y
subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0.
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Minimise and Maximise Z = 5x + 10y
subject to x + 2y ≤ 120, x + y ≥ 60, x - 2y ≥ 0, x, y ≥ 0.
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Minimise and Maximise Z = x + 2y
subject to x + 2y ≥ 100, 2x - y ≤ 0, 2x + y ≤ 200; x, y ≥ 0.
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Maximise Z = -x + 2y, subject to the constraints:
x ≥ 3, x + y ≥ 5, x + 2y ≥ 6, y ≥ 0.
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Maximise Z = x + y, subject to x - y ≤ -1, -x + y ≤ 0, x, y ≥ 0.