Home
Class 12
MATHS
Solve the following LPP graphically Ma...

Solve the following LPP graphically
Maximize, `Z=5x_(1) +3x_(2)`
Subject to `3x_(1)+5x_(2) le 15`
`5x_(1)+2x_(2) le 10`
`x_(1),x_(2) ge 0`

Text Solution

Verified by Experts

The correct Answer is:
Z(max) is `(235)/(19)` at `x_(1)=(20)/(19) and x_(2)=(45)/(19)`
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    ARIHANT PRAKASHAN|Exercise Chapter Test (1 MARK Questions) |7 Videos
  • LINEAR PROGRAMMING

    ARIHANT PRAKASHAN|Exercise Chapter Test (4 MARKS Questions) |6 Videos
  • LINEAR PROGRAMMING

    ARIHANT PRAKASHAN|Exercise PRACTICE QUESTIONS (Exams., Textbook.s & Other Imp. Questions) (4 Marks Questions) |9 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (6 MARKS Questions) |3 Videos
  • MATRICES

    ARIHANT PRAKASHAN|Exercise Chapter Test ( 6 Mark Questions)|4 Videos

Similar Questions

Explore conceptually related problems

Solve the following LPP graphically : Maximize Z=3x_(1) +2x_(2) subject to -2x_(1) +x_(2) le 1 x_(1) le 2 x_(1) +x_(2) le 3 x_(1), x_(2) ge 0

Solve the following LPP graphically Maximise Z=5x_(1)+3x_(2) Subject to 3x_(1)+5x_(2)le15 , 5x_(1)+2x_(2)le10 and x_(1),x_(2)ge0 , where x_(1) and x_(2) represent x and y .

Solve the following LPP graphically Maximize Z=3x_(1)+2x_(2) subject to -2x_(1)+x_(2)le1 , x_(1)le2 , x_(1)+x_(2)le3 and x_(1),x_(2)le0 .

Solve the following LPP graphically Maximise Z=2x_(1)+3x_(2) Subject to x_(1)+x_(2)le400 2x_(1)+x_(2)le600 x_(1),x_(2)ge0 .

Solve the following LPP graphically : Minimize Z = 6x_(1)+7x_(2) Subjected to x_(1)+2x_(2)ge1 , x_(1),x_(2)ge0 .

Solve the following LPP graphically : Maximize : Z=5x_1+3x_2 subject to : 3x_1+5x_2le15 5x_1+2x_2le10 x_1,x_2ge0