Your factory sells two types of tires. The radial tires cost $8 and have a profit of $10 each. The tractor tires cost $12 and have a profit of $25 each. Each radial tire requires 5 units of rubber and each
tractor tire requires 20 units of rubber. Your factory has no more than 1000 units of rubber to use to
make both types of tires. You want to spend no more than $1500 on costs. How many of each type of
tire should you manufacture in order to maximize your profit?