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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