A computer company manufactures two models of computers. One model is for business use and the other model is for personal use. The company can make no more than eight computers per day. They want to build no more than five business computers and no more than six personal computers per day. The company makes a profit of $75 on each personal computer and $100 on each business computer. How many of each type of computer should they make to maximize their profit? What is the profit?