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

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

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

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

Minimise Z=3x+5y such that x+3yge3, x+yge2, x, yge0

If the system of equations x+2y+3z=13, 3x+y+2z=12, 2x+3y+6z=0 has

Find the equation of the plane through the line of intersection of the planes 3x-y+z-1=0, 2x+y+3z-7=0 and perpendicular to the plane x-5y+3z=2 .