Suppose the Sunglasses Hut Company has a profit function given by P(q) 0.03q2 + 50 – 38, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing a pairs of sunglasses. A) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.)
_ thousand pairs of sunglasses need to be sold.
B) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.)
_ thousand dollars of maximum profits can be expected.