1.

For L.P.P, maximize z=4x_(1)+2x_(2) subject to

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`3x_(1)+2x_(2)ge9,x_(1)-x_(2)le3,x_(1)ge0,x_(2)ge0` has. . .
infinite number of optimal solutions
unbounded solution
no solution

Solution :We have, maximise `z=4x_(1)+2x_(2)`
SUBJECT to constracts, `3x_(1)+2x_(2)ge9,x_(1)-x_(2)le3,x_(1)ge0,x_(2)ge0`
On taking GIVEN constraints as EQUATION, we GET the following graphs


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