Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20249 May 2024Evening ShiftMathematicsLinear ProgrammingActual

The maximum value of z =4 x+2 y , subject to the constraints 3 x+4 y 12, x+y 5, x, y 0 is

Options

  1. A8
  2. B20
  3. C24
  4. D16

Correct answer

B. 20

Step-by-step solution

The feasible region. lies on the origin side of x+y=5 and non-origin side of 3 x+4 y=12 , in the first quadrant. The corner points of the feasible region are A (4,0), B (5,0), C (0,5) and D (0,3) . z=4 x+2 y At A (4,0), z =16 At B(5, 0), z=20 At C(0, 5), z=10 At D(0,3), z=6 Maximum value of z is 20.

Practice Linear Programming on Quantrex Academy →

More from Linear Programming

The feasible region represented by the constraints: x + 2y 120 ; x + y 60 ; x - 2y 0 ; x 0 and y 0 2026Which of the following is NOT a corner point of the feasible region determined by the constraints: x + 2y 4 ; x + y 2 ; x 0 and y 0 2026The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20) . Let z = px + qy where p, q > 0 . The relation betwe 2026In Linear Programming Problem (LPP), the objective function Z = ax + by has the same maximum value at two corner points. The number of points at which Z_ max occurs is 2026The LPP maximize z = 2x + 5y subject to x + 3y 6 , 2x + 6y 18 , x 0 , y 0 has 2026The difference between the maximum value and the minimum value of the objective function z = 3x + y subject to the constraints 2x + 3y 6 , x + y 1 , x 0 , y 0 is.... 2026An airplane can carry a maximum of 250 passengers. A profit of Rs 1500 is made on each executive class ticket and a profit of Rs 900 is made on each economy class ticket. The airli 2026The shaded region in the provided graph represents the solution set for which of the following systems of linear inequalities? 2026 Full Linear Programming list All MHT CET PYQs