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The constraints are

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Graph :

Graph the inequalities and shade the required region.

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Note : The shaded region is the set of solution points for the objective function.

Observe the graph,

Area of the convex ploygon

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Area enclosed by lines $\"\"$ and $\"\"$ between $\"\"$ to $\"\"$ is $\"\"$ sq-units.

Area of $\"\"$ is $\"\"$ sq-units.

Area of the convex ploygon $\"\"$ .

The area of polygon is $\"\"$ sq-units.

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The area of polygon is $\"\"$ sq-units.