A pharmaceutical company manufactures two drugs. Each case of drug A requires 3 hours of processing time and 1 hour of curing time per week. Each case of drug B requires 5 hours of processing time and 5 hours of curing time per week. The schedule allows 55 hours of processing time and 45 hours of curing time weekly. The company must produce no more than 10 cases of drug A and no more than 9 cases of drug B. (Lesson 2-7)
a. If the company makes a profit of $320 on each case of drug A and $500 on each case of drug B, how many cases of each drug should be produced in order to maximize profit?
b. Find the maximum profit.