Home
Class 12
MATHS
Solve the Following Linear Programming P...

Solve the Following Linear Programming Problem graphically : Maximise `Z = 3x + 4y`subject to the constraints : `x+ylt=4,xgeq0,ygeq0`.

A

`14`

B

`15`

C

`16`

D

`17`

Text Solution

Verified by Experts

The correct Answer is:
C
We can create a triangle with the given constraints.
Please refer to video for the graph.
From, the graph, coordinates of triangle are,
`A(0,0),B(4,0) and C(0,4)`
As `Z = 3x+4y`
At `A(0,0), Z = 0`
At `B(4,0), Z = 12`
At `C(0,4), Z = 16`
...
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • LINEAR PROGRAMMING

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|11 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

  • MATRICES

    NCERT ENGLISH|Exercise All Questions|105 Videos

Similar Questions

Explore conceptually related problems

Solve the Following Linear Programming Problem graphically : Maximise Z = 3x + 2y subject to x+2ylt=10 ,3x+ylt=15 ,x ,ygeq0 .

Solve the following linear programming problem graphically: Maximise Z" "=" "4x" "+y . . . (1) subject to the constraints: x+ylt=50 . . .(2) 3x+ylt=90 . . .(3) xgeq0,""""ygeq0 . . .(4)

Solve the following linear programming problem graphically :Minimise Z = 200 x + 500 y . . . (1)subject to the constraints: x+2ygeq10 . . .(2) 3x+4ylt=24 . . .(3) xgeq0,ygeq0 . . .(4)

Solve each of the following linear programming problems by graphical method. Maximize Z=3x+3y Subject to the constraints x-ylt=1 x+ygeq3 x , ygeq0

Maximise Z=3x+4y Subject to the constraints x+yle4,xge0,yge0

Solve the Following Linear Programming Problem graphically : Minimise Z = x + 2y subject to 3x+ygeq3,x+2ygeq6.x ,ygeq0 .

Solve the following linear programming problem graphically: Minimize : z=100x+50y Subject to constraints : x+2yge10 3x+4yge24 xge0 yge0

Maximise Z=3x+4y, Subjected to the constraints x+y le1, x ge 0, y ge 0

Solve the Following Linear Programming Problem graphically : Maximise Z" "=" "5x" "+" "3y subject to 3x+5ylt=15 ,""""5x+2ylt=10 ,""""xgeq0,""""ygeq0 .

Solve the Following Linear Programming Problem graphically : Minimise Z" "=" "3x" "+" "5y such that x+3ygeq3,""""x+ygeq2,""""x ,""ygeq0x+3y .