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# Solve the following Linear Programming Problems graphically Maximise Z= x + y

10.    Solve the following Linear Programming Problems graphically:

Maximise $Z = x + y,$

Subject to$x-y\leq -1,-x+ y\leq 0,x,y,\geq 0.$

Show that the minimum of Z occurs at more than two points.

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The region determined by constraints $x-y\leq -1,-x+ y\leq 0,x,y,\geq 0.$is as follows,

There is no feasible region and thus, Z has no maximum value.

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