1. 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. 851 TV remotes should be sold in order to minimize the average cost.

2. What is that minimum average cost? The minimum average cost is approximately $25.

C(n) = 25n^2 + 150n +21500

C(n) = (n^2 + 6n + 860)

First Derivative

C^1(n) = 2n + 6 (2n + 6) = 0 n = -3

Critical Number: n = -3 (-∞, -3) (-3, ∞) C^1 (-4) = -2 C^1 (1) = 8 Decreasing Increasing Minimum at x = (-3, 851) $21,275/851=$25

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) = 25n2 + 150n +21500, where n represents the number of TV remote controls sold in a particular month.

1. 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. 851 TV remotes should be sold in order to minimize the average cost.

2. What is that minimum average cost? The minimum average cost is approximately $25.

C(n) = 25n^2 + 150n +21500

C(n) = (n^2 + 6n + 860)

First Derivative

C^1(n) = 2n + 6 (2n + 6) = 0 n = -3

Critical Number: n = -3 (-∞, -3) (-3, ∞) C^1 (-4) = -2 C^1 (1) = 8 Decreasing Increasing Minimum at x =