Suppose that Jack has received two job offers from car dealerships to work as a
salesman. The first dealership,Lemons R Us, offers to pay Jack $500 per car sold. The second dealership, Used Lemons, offers an annual salary of $20,000 regardless of Jack's sales numbers. After speaking with some of his friends, Jack infers that the number of cars he can reasonably expect to sell per year is S = 10 + 90a , where 0 ≤ a ≤ 1 is a measure of one's 'car-selling ability.' If Jack assesses his ability at a = 0.1, what are his expected annual earnings at the dealership whose job offer he will accept?