Minimize `Z=x+y` subject to `x-yle1, -x+yle1, x,y ge0`

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

Show that the minimum of Z occurs at more than two points. Maximise Z = x + y, subject to x-y le -1, -x+y le 0, x, y ge 0

Solve the following Linear Programming Problems graphically : Maximise Z = 3x + 2y subject to x+2y le 10, 3x+y le 15, x, y ge 0

Solve the following Linear Programming Problems graphically : Minimise Z = x + 2y subject to 2x+y ge 3, x+2y ge 6, x, y ge 0

Show that the minimum of Z occurs at more than two points. Minimise and Maximise Z=5x+10y subject to x+2y le 120, x+y ge 60, x-2y ge 0, x, y ge 0

Solve the following Linear Programming Problems graphically : Minimise Z = -3x + 4y subject to x+2y le 8, 3x+2y le 12, x ge 0, y ge 0

Solve the following Linear Programming Problems graphically : Maximise Z = 5x + 3y subject to 3x+5y le 15, 5x+2y le 10, x ge 0, y ge 0

in solving the L.P problem " minimize z= 6 x + 10 y subject to x ge 6, y ge 2, 2x +y ge 10 , x ge 0 y ge 0" redundant constraints are ……..

Maximise z = x + y subject ot x+4y le 8, 2x+3y le 12, 3x+y le 9, x ge 0, y ge 0 .

Consider a LPP given by minimise Z = 6x + 10y. Subject to x ge 6, y ge 2, 2x+y ge 10, x ge 0, y ge 0 . Redundant constraints in this LPP are ………..