Home
Class 12
MATHS
Solve the following linear programming p...

Solve the following linear programming problem graphically :
Minimise Z = 200 x + 500 y `" …(1)"`
subject to the constraints :
`x+2y ge 10" …(2)"`
`3x+4y le 24" …(3)"`
`x ge 0, y ge 0" ...(4)"`

Text Solution

Verified by Experts

The correct Answer is:
Minimum value of Z is 2300, attained at the the point (4, 3)
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS|44 Videos
  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|42 Videos
  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 12|9 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos
  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

Similar Questions

Explore conceptually related problems

Solve the following linear programming problems graphically : Minimise : Z = 20x + 10y subject to the constraints x+2y le 40, 3x+y ge 30, 4x+3y ge 60, x, y ge 0 .

Solve the following linear programming problems graphically : Minimise : Z = 3x + 2y subject to the constraints x+y le 8, 3x+5y ge 15, x ge 0, y ge 0

Solve the following linear programming problem graphically : Maximise Z = 4x + y " …(1)" subject to the constraints : x+y le 50 " …(2)" 3x+y le 90" …(3) " x ge 0, y ge 0" ...(4)"

Solve the following linear programming problems graphically : Maximize : Z = 100x + 170y subject to the constraints 3x+2y le 3600, x+4y le 1800, x, y ge 0 .

Solve the following linear programming problems graphically : Maximize : Z = x + 170y subject to the constraints 3x+2y le 6, x+4y le 16, x, y ge 0 .

Solve the following linear programming problems graphically : Minimise : Z = 3x + 5y subject to constraints -2x+y le 4, x+y ge 3, x-2y le 2, x, y ge 0 .

Solve the following linear programming problems graphically : Maximise Z = 50x + 15y subject to constraints 5x+y le 100, x+y le 60, x, y ge 0 .

Solve the following linear programming problem graphically: Minimise Z=200x+500y ……………1 subject to the constraints: x+2yge10 ……………2 3x+4yle24 ……………3 xge0,yge0 …………..4

Solve the following linear programming problems graphically : Minimise : Z = 18x +10y subject to constraints 4x+y ge 20, 2x+3y ge 30, x, y ge 0 .

Solve the following linear programming problems graphically : Maximise : Z = 10x + 6y subject to constraints 3x+y le 12, 2x+5y le 34, x, y ge 0