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Find the maximum and minimum values of `Z=2x+y,` subject to the constraints `x+3y ge6, x+3y le3,3x+4yle24,` `-2x+2yle6,5x+yge5,x ge0and y ge0.`

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Find the maximum and minimum values of `Z=2x+y,` subject to the constraints `x+3y ge6, x+3y le3,3x+4yle24,` `-2x+2yle6,5x+yge5,x ge0and y ge0.`
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Correct Answer - Maximum `Z=14(1)/(3)at ((84)/(13),(15)/(13))"and minimum"Z=3(1)/(14)at ((9)/(14),(25)/(14))`
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