JEE Advanced Mathematics: Linear Programming Practice Questions

6 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

  1. Q1.
    For the objective function Z = ax + by, if the optimal value occurs at two distinct corner points, then the number of optimal solutions is:
    Easy
  2. Q2.
    Find the maximum value of the objective function Z = 3x + 4y subject to the constraints x + y <= 4, x >= 0, y >= 0.
    Easy
  3. Q3.
    Maximize Z = 2x + 3y subject to x + y <= 5 and x, y >= 0.
    Easy
  4. Q4.
    Find the maximum value of Z = 4x + 3y subject to 3x + 4y <= 24, 8x + 6y <= 48, x, y >= 0.
    Hard
  5. Q5.
    Maximize Z = 2x + 3y subject to x + y <= 5, x + 2y <= 8, x, y >= 0.
    Hard
  6. Q6.
    Minimize Z = 5x + 7y subject to 2x + y >= 8, x + 2y >= 10, x, y >= 0.
    Hard

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Linear Programming — JEE Advanced Mathematics Practice Questions with Solutions | SolveGini