49. Miles sells Baby Laugh dolls. The number of dolls, x, that Miles sells in 1 year depends on the price he sells them for that year, p dollars per doll. The equation x = 52 - 2p, where 0 < p ≤ 26, gives the relationship between x and p. Miles’s revenue is the money collected from selling x dolls. The maximum is revenue Miles can make from the sale of Baby Laugh dolls in 1 year occurs at what price per doll?

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

Assuming that Miles' salary is Y, then Y=p(52-2p)= -2p2+52p, because the opening is downward, so this formula has a maximum value; because its symmetry axis is 13, and 13 is within the definition domain, so when p is taken to 13, Y is the largest