The XYZ Corporation plans to open three different types of fast-food restaurants. Type A restaurants require an initial cash outlay of $600,000, need 15 employees, and are expected to make an annual profit of $40,000. Type B restaurants require an initial cash outlay of $400,000, need 9 employees, and are expected to make an annual profit of $30,000. Type C restaurants require an initial cash outlay of $300,000, need 5 employees, and are expected to make an annual profit of $25,000. The XYZ Corporation has $48,000,000 available for initial outlays, does not want to hire more than 1000 new employees, and would like to open at most 70 restaurants. How many restaurants of each type should be opened to maximize the expected annual profit?