न्यूनतमीकरण करें `z=-3x+3y`
जबकि `x+2yle8`
`3x+2yle12`
`xge0,yge0`.

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

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

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

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

Solve the LPP: Maximize Z=-3x+4y Subject to x+2yle8 , 3x+2yle12 , xge0,yge0 .

2x+3yle6,x+4yle4,xge0,yge0

Solve the following LPP graphically : Maximize Z=-3x+4y subject to x+2yle8, 3x+2yle12, xge0, yge0

Solve the following problem graphically Minimise Z=-3x+4y Subject to x+2yle8,3x+2yle12 and xge0,yge0 .

Minimise z=3x+y , subject to 2x+3yle6,x+yge1, xge0,yge0

a. Minimize z =-3x+4y subject to constraints. x+2yle8 3x+2yle12 xge0, yge0 by graphical method. b. Prove that {:abs((1,a,a^2),(1,b,b^2),(1,c ,c^2)):} = (a - b)(b-c)(c-a)