57. Maximizing Revenue Suppose the quantity demanded per week of a certain dress is related to the unit price \( p \) by the demand equation \( p = \sqrt { 800 - x } \) , where \( p \) is in dollars and
\( x \) is the number of dresses made. To maximize the revenue, how many dresses should be made and sold cach week? Hint \( R ( x ) = p x \) .