A truck manufacturer makes both light duty pickups and heavy duty semis. Each semi requires 5 worker days labor in the manufacture area, 4 worker days in the paint area, and yeilds a profit of $300 each. Each pickup requires 3 worker days in manufacture area, 2 days in paint, and yields $150 profit. Enough people have been hired to provide 210 worker days in manufacture, and 160 days in paint per week.
a) How many of each type of truck should be produced to maximize the companies profit?
b) What is the maximum profit each week?