Answer to Question #36282 in Other Math for nathaniel ruiz
Consider the LP problem of maximizing the function f(x,y) = x + 2y subject to
-2x + y <= 2,
-x + 2y <= 7,
x <= 3,
and x >= 0, y >= 0. Start at x = 0, y = 0. You will find that you have a choice for the entering variable; try it both ways.
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