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Represent geometrically the following L...

Represent geometrically the following LPP
Minimize Z= 3x+2y
Subject to the constraits
`5x+y ge 10`
`x+yge6`
`x+4yge12`
and `x ge 0 ,y ge 0`
find out the exterme points of the convex set of feasible solution and hence find out the minimum value of the objective function

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