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Consider the linear programming problem ...

Consider the linear programming problem Maximize `Z=4x+y`
Subject to the constraints.
`x+y le 50`
`3x+y le 90`
`x gt 0, y gt 0`
(i) Draw its feasible region.
(ii) Find the corner points of the feasbile region.
(iii) Find the corner at whcih Z attains its maximum.

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