Suppose the Sunglasses Hut Company has a profit function given by P(q) = - 0.03q2 + 39 – 45, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, inthousands 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.)
B) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your
answer to three decimal places.)