A bookstore can obtain an atlas from the publisher at a cost of $15 per copy. The manager estimates that if the store sells the atlas for x dollars per copy, approximately 22(19-x) copies will be sold each month.

a) Express the bookstore's monthy profit from the sale of the atlas as a function of price.
b) What would be the optimal selling price (in dollars) in order to maximize profit?

Question

A bookstore can obtain an atlas from the publisher at a cost of $15 per copy. The manager estimates that if the store sells the atlas for x dollars per copy, approximately 22(19-x) copies will be sold each month.

a) Express the bookstore's monthy profit from the sale of the atlas as a function of price.
b) What would be the optimal selling price (in dollars) in order to maximize profit?

rob1525 · Answer

so x  is the cost to the books and 22(19-x) is the approximate copies sold, right?

rob1525 · Answer

Multiply them tighter to get a quadratic then find the max. understand?

rob1525 · Answer

multiply them together

anonymous · Answer

so (22(19-x))(x)? Could you please explain how I would get a quadratic from this?

rob1525 · Answer

x*x is x^2 but u multiply it out and see or just put that in your graphing calc then find max.

anonymous · Answer

ok so i got 418x-22x^2, and i put it in my calculator which gave me 9.5, 1985.5 which doesn't make sense to me because then you would be selling for less than the price that you purchased the atlas for