CBSE Important Questions of Linear Programming | Zigya

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 Multiple Choice QuestionsShort Answer Type

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1. Solve the following Linear Programming Problems graphically:
Maximise    Z = 3x + 4y
subject to the constraints:    x + y ≤ 4,  x ≥ 0, y ≥ 0
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 Multiple Choice QuestionsLong Answer Type

2. Solve the following linear programming problem graphically:
Maximise    Z = 4x + y
subject to the constraints: x + y ≤ 50,  3x + y ≤ 90,  x ≥ 0, y ≥ 0
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3. Find the maximum value of f = x + 2 y subject to the constraints:
2x + 3 y ≤ 6
x + 4 y ≤ 4
x, y ≥ 0
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4. Maximize z = 9 x + 3 y subject to the constraints
2x + 3y ≤ 13
2x + y ≤ 5
x, y ≥ 0
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5. Solve the following Linear Programming Problems graphically:
Minimise    Z = - 3x + 4 y
subject to the constraints: x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0
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6. Solve the following Linear Programming Problems graphically:
Minimise    Z = 5x + 3y
subject to the constraints: 3x + 5y ≤ 15, 5x + 2y ≤ 10, x ≥ 0, y ≥ 0.
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7. Solve the following Linear Programming Problems graphically:
Maximise    Z = 3x + 2y
subject to the constraints: x + 2y ≤ 10, 3x + y ≤ 15, x, y ≥ 0, 
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8. Maximize z = 4x + 1y such that x + 2y ≤ 20, x + y ≤ 15, x ≥ 0, y ≥ 0.
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9. Solve the following linear programming problem graphically.
Maximize z = 11x + 5y
subject to the constraints
3x + 2y ≤ 25,   x + y ≤ 10,  x, y ≥ 0
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10. Maximize z = 30x + 19y such that x + y ≤ 24, x + 1 halfy ≤ 16, x ≥ 0, y ≥ 0.
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