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2x-y le 6, 3x + 4y le 12...

`2x-y le 6, 3x + 4y le 12 `

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2x + y ge 6, 3x + 4y le 12

x + y le 6, x + y le 4

Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0 , y ge 0 .

Minimise Z = -3x + 4y subject to x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0

Minimize Z = -3x + 4y subject ot constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Draw the diagrams of the solution sets of the following (3 - 6) linear constraints: 3x+ 2y le 8, 3x + 2y le 12, x, y ge 0

x + 2y le 3, 3x + 4y ge 12, x ge 0, y ge 1

x +2y le 3, 3x + 4y ge 12 , x ge 0, y ge 1

Minimize and Maximize Z = 5x + 2y , subject to the following constraints: x - 2y le 2, 3x + 2y le 12, -3x + 2y le 3, x ge 0, y ge 0 .