Answer to Question #36282 in Math for nathaniel ruiz

Question

LP (linear programming): refers to the problem of optimizing a linear function of several variables over linear equality or inequality constraints.

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.

Answer 1

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