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Maximise Z = 3x +2y subject to x + 2y ≤ 10, 3x + y ≤ 15, x, y ≥ 0.

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Maximise Z = 3x +2y subject to x + 2y ≤ 10, 3x + y ≤ 15, x, y ≥ 0.

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1 Answer

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Best answer

x + 2y = 10

x 0 6 4
y 5 4 3

0 + 0 < 10 

True

3y + y = 15

x 5 4 3
y 0 3 6

0 + 0 < 15 True 

ABCO is the solution region 

At A (0,5) Z = 2 x 5 = 10 

At B (4, 3) Z = 3 x 4+ 2 x 3 = 18 

At C (5,0) Z = 3 x 5 = 15 

∴ Z is maximized at B (4, 3) = 18.

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