Suppose the Sunglasses Hut Company's profit is given by the equation $\displaystyle {P}=-{0.02}{q}^{{2}}+{4}{q}-{37}$, where $\displaystyle {P}$ is the total profit, in thousands of dollars, and q is the total number of sunglasses sold, in thousands. For example, when $\displaystyle {q}={10}$, the equation says that $\displaystyle {P}={1}$. This would mean that when 10000 sunglasses are sold, the profit is $1000. 

A) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.)   

Answer: 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.)

Answer: thousand dollars of maximum profits can be expected.