After an aggressive marketing campaign in the local community, Poe's TV & Repair Co. discovered that their cost can now be modeled by the equation: C(n) = 25n 2 + 150n + 21500, where n represents the number of TV remote controls sold in a particular month.
How many TV remote controls must be sold in a month in order to minimize the company's average cost? Show all steps and justify your answer.
What is that minimum average cost?