# Linear Programming : Graphical Method

Solving Linear Programming Problems Graphically. See attached file for full problem description.

#4 and 5 only.

4. Solve the following linear programming problem:

Minimize g = 22x + 17y

8x + 5y ≥ 100

12x + 25y ≥ 360

x ≥ 0, y ≥ 0

5. A company manufactures backyard swing sets of two different sizes. The larger

requires 5 hours of labor to complete, the smaller requires 2 hours, and there are

700 hours of labor available each week. The packing department can pack at

most 185 swing sets per week. If the profit is $100 on each larger set and $50 on

each smaller set, how many of each should be produced to yield maximum profit?

What is the maximum profit?

https://brainmass.com/math/linear-programming/linear-programming-problem-graphical-method-122496

#### Solution Summary

LP problems are solved by using a graphical method. The solution is detailed and well presented.