1.

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

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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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