Assume that you are a manager of a fast food restaurant in Georgia, USA, and your cost and demand functions, respectively, are C(Q) = 5 + Q + 2.5Q² and Q = 65 - 5P, where Q is output and P is unit price ($). Clearly show your steps and determine your short-run profit maximizing output and price.

The profit maximizing price is $12.6 and quantity is 2 units.

Given your firm's cost function, derive your firms' short-run supply function???