JEE Questions for Maths Linear Programming Quiz 2 - MCQExams.com

A wholesale merchant wants to start the business of cereal with Rs 24000. Wheat is Rs 400 per quintal and rice is Rs 600 per quintal. He has capacity to store 200 quintal cereal. He earns the profit Rs 25 per quintal on wheat and Rs 40 per quintal on rice. If he stores x quintal rice and y quintal wheat, then maximum profit of the objective function is
  • 25x + 40y
  • 40x + 25y
  • 400x + 600y

  • Maths-Linear Programming-37996.png
The maximum value of z = 5x + 3y, subject to constraints 3x + 5y ≤ 15, 5x + 2y ≤ 10 and x , y ≥ 0 is

  • Maths-Linear Programming-37997.png
  • 2)
    Maths-Linear Programming-37998.png

  • Maths-Linear Programming-37999.png

  • Maths-Linear Programming-38000.png
The constraints -x1 + x2 ≤ 1, -x1 + 3x2 ≤ 9 and x1, x2 ≥ 0 defines on
  • bounded feasible space
  • unbounded feasible space
  • both bounded and unbounded feasible space
  • None of the above
If given constraints are 5x + 4y ≥ 2 , x ≤ 6 and y ≤ 7, then the maximum value of the function z = x + 2y is
  • 13
  • 14
  • 15
  • 20
The minimum value of the objective function z = 2x + 10y subject to constraints x ≥ 0, y ≥ 0, x - y ≥ 0, x- 5y ≤ - 5 is
  • 10
  • 15
  • 12
  • 8
Shaded region is represented by
Maths-Linear Programming-38001.png
  • 4x - 2y ≤ 3
  • 4x - 2y ≤ - 3
  • 4x - 2y ≥ 3
  • 4x - 2y ≥ - 3
The coordinate of the point at which minimum value of z = 7x - 8y subject to constraints x + y - 20 ≤ 0, y ≥ 5, x ≥ 0, y ≥ 0 is attained, is
  • (20, 0)
  • (15, 5)
  • (0, 5)
  • (0, 20)
The feasible region for the following constraints L1 ≤ 0, L2 ≥ 0, L3 = 0, x ≥ 0, y ≥ 0 in the diagram shown is
Maths-Linear Programming-38002.png
  • area DHF
  • area AHC
  • line segment EG
  • line segment GI
  • line segment IC
Solve the linear programming problem.
Maximise z = x + 2y
Subject to constraints x - y ≤ 10 , 2x + 3y ≤ 20 and x ≥ 0 , y ≥ 0.
  • z = 10
  • z = 30
  • z = 40
  • z = 50
  • None of the above
0:0:1


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