Minimise `Z" "=" "3x" "+" "2y` subject to the constraints: `x+jgeq8` . . .(1) `3x+5ylt=15` . . .(2) `xgeq0,""""ygeq0` . . .(3)

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)

Minimise Z = 3x + 2y subject to the constraints: x+yge8 . . .(1) 3x+5ylt=15 . . .(2) xgeq0,ygeq0 . . .(3)

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

Solve the following problem graphically: Minimise and Maximise Z" "=" "3x" "+" "9y . . . (1) subject to the constraints: x+3ylt=60 . . . (2) x+ygeq10 . . . (3) xlt=y . . . (4) xgeq0,""""ygeq0 . . . (5)

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)

Determine graphically the minimum value of the objective function Z" "=" "" "50 x" "+" "20 y . . .(1) subject to the constraints: 3x-ygeq-5 . . .(2) 3x+ygeq3 . . .(3) 2x-3jlt=12 . . .(4) xgeq0,""""ygeq0 . . .(5)

Minimise Z = 3x+2y subject to the constraints: x+yge8, 3x + 5y le15, xge0, y ge0

Solve the following problem graphically:Minimise and Maximise Z = 3x + 9y . . . (1)subject to the constraints: x+3ylt=60 . . . (2) x+ygeq10 . . . (3) xlt=y . . . (4) xgeq0,ygeq0 . . . (5)