AP Calculus BC
posted by Michael on .
Use a graphing calculator to find how many widgets to make in order to maximize profit. The price (p) of one widget is given as a funtion of the number sold (n) as p=20e^[(-n^2)/40000]and the total cost (c) to make n widgets is given by C = 2n^2 + 2000/( n +10). Assume #made = # sold + n. Profit (p)= Revenue (np) - Cost (c)