The problem: Waheeb, a recent college graduate with a degree in Communications, is starting a business selling hand-painted sweatshirts and t-shirts with matching designs; it has recently become very fashionable to wear clothing that matches in this way. He raised $25,000 from friends and family to start his business, but $5,000 must go to repaying his startup costs. The sweatshirts and t-shirts cost $10 and $8 each, respectively, to make. Fortunately, Waheeb has enough savings to devote 5,000 work hours to his new business and see whether it is profitable enough to switch careers. Each t-shirt takes 6 hours to make, and each sweatshirt takes 4 hours to make. The profit is $50 for each t-shirt sold and $40 for each sweatshirt. How many t-shirts and sweatshirts should Waheeb make to maximize the profit? What is the maximum profit?