The initial price of buzz.com stock is $10 per share. After 20 days the stock price is $25 per share and after 40 days the price is $35 per share. Assume that while the price of the stock is not zero it can be modeled by a quadratic function. (a) Find the multipart function s(t) giving the stock price after t days. s(t) = 0sts 151 t> 151 If you buy 1000 shares after 30 days, what is the cost? $ (b) To maximize profit, when should you sell shares? days How much will the profit be on your 1000 shares purchased in (a)? $