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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Long 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 + , y ≤ 16, x ≥ 0, y ≥ 0.