Home
Class 12
MATHS
Minimise and Maximise Z=x+2y Subject t...

Minimise and Maximise `Z=x+2y`
Subject to `x+2yge100,2x-yle0,2x+yle200,x,yge0`.

Text Solution

Verified by Experts

Objective function : Z=x+2y
We have to minimize and maximize Z on constraints
x+2y≥100
2x−y≤0
2x+y≤200
x≥0,y≥0
solving the above constraints we get corner points as a(0,200),b(0,50),c(20,40),d(50,100).
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Maximise Z=3x+2y Subject to x+2yle10,3x+yle15, x,yge0

Minimise and Maximise Z=5x+10y Subject to x+2yle120,x+yge60,x-2yge0,yge0 .

Show that the minimum of Z occurs at more than two points : Minimise and Maximise Z = x + 2y subject to x+2ygeq100 ,""""2x-ylt=0,""""2x+y""lt=""200 ;""""x ,""""y""geq0 .

Maximise Z=x+y Subject to x-yle -1, -x+yle0,x,yge0 .

Maximise Z=5x+3y Subject to 3x+5yle15, 5x+2yle10,xge0,yge0 .

Minimise Z=-3x+4y Subject to x+2yle8, 3x+2yle12,xge0,yge0 .

Maximise Z=-x+2y Subject to the constraints xge3, x+yge5,x+2yge6,yge0

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

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

Solve the linear programming problem Maximise Z=x+2y Subject to the constraints: x-yle10, 2x + 3y le20 and xge0, yge0