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