# Linear Programming using the Corner Points Method

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Find the optimal solution using the Corner Points method.

Min 2x + 2y

Subject to

x + y > 5

x + 2y < 8

x, y > 0

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##### Solution Summary

The corner points method is applied and graphed in an attached .jpg file along with written explanation.

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(I assume that the inequalities x+y>=5 and x+2y<=8 are not strict. Otherwise, the problem does not have a solution)

First, we find the feasible region.

1) Graph the lines x+y=5 and x+2y=8, they will provide the boundaries of the feasible region, together with the posititive halves of the x- and y-axes:

Find the x- and y- intercepts of the lines: For x+y=5 we have: the x-intercept is (5,0), the y-intercept is (0,5)

Draw ...

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