daily Cost function C(x) = 5x + 360 -0.001x^2, where x is the number of decks company produces each day and daily cost is in dollars. Suppose that the price that each deck is sold for varies based on the equation given by p(x) = 11.30 - 0.01x, where p is the price per deck in dollars. Find maximum daily profits, price that the company should charge per deck and the maximum daily profit.
The Attempt at a Solution
profit = C(x) * x - P(x)
=x(5x + 360 -0.001x^2) - (11.30 - .01x)
=5x^2 - 360x - 0.001x^3 - 11.30 +0.01x
Can anyone tell me if I set this up correctly? I know I should take the derivative of this but I end up with 2 different answers.