Help! Linear programming

[gregcath]

I need help with a math problem.

Its a linear programming problem.

P=40x + 50y
Subject to 2x + y ≤ 18
x + y ≤ 10
x + 2y ≤ 16
x,y ≥ 0

 

[stapel]

I need help with...a linear programming problem.

To learn the basic terms and techniques, try this lesson.

P=40x + 50y
Subject to 2x + y ≤ 18
x + y ≤ 10
x + 2y ≤ 16
x,y ≥ 0

After you have studied the lesson at the link, please attempt the exercise. If you get stuck, you can then reply with a clear listing of your efforts so far. For instance, you'll start by graphing the constraint lines, being y = -x + 10, y = -(1/2)x + 8, y = 0, and x = 0. You'll find the corner points on the feasibility region -- from the graph, if you're allowed, or algebraically from solving pairs of equations for their intersection points. Then you'll plug those corner points into the optimization equation, and so forth. Your reply would include the corner points you got, the values you got at the corners, and your conclusion.

Thank you!