A one-product company finds that its profit, P, in millions of dollars, is given by the following equation where a is the amount spent on advertising, in millions of dollars, and p is the price charged per item of the product, in dollars. P(a, p) = 2ap + 80p - 15p2 - 1 / 10 a2p - 110
Find the maximum value of P and the values of a and p at which it is attained.
The maximum value of P is attained when a is $ million and p is $.