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An office copier has an initial price of $2,300. A service contract costs $300 for the first year and increases $50 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n) = 2,300 + 275n + 25n. C(n) The average cost per year for n years is given by C(n) = Complete parts (A) through (D). (A) Find the rational function C. Č(n) = 2300 + 275 + 25n (B) Sketch a graph of C for 2 sns 20. Choose the correct graph below. OA. OB. OD. 1600 1600 1600 1600- (C) When is the average cost per year at a minimum, and what is the minimum average annual cost? (Hint: Refer to the sketch in part (B) and evaluate C(n) at appropriate integer values until a minimum value is found.] The average cost per year is at a minimum in approximately 10 years. (Type a whole number.) The minimum average annual cost is approximately $ per year.

An office copier has an initial price of $2,300. A service contract costs $300 for the first year and increases $50 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n) = 2,300 + 275n + 25n. C(n) The average cost per year for n years is given by C(n) = Complete parts (A) through (D). (A) Find the rational function C. Č(n) = 2300 + 275 + 25n (B) Sketch a graph of C for 2 sns 20. Choose the correct graph below. OA. OB. OD. 1600 1600 1600 1600- (C) When is the average cost per year at a minimum, and what is the minimum average annual cost? (Hint: Refer to the sketch in part (B) and evaluate C(n) at appropriate integer values until a minimum value is found.] The average cost per year is at a minimum in approximately 10 years. (Type a whole number.) The minimum average annual cost is approximately $ per year.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 7P
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An office copier has an initial price of $2,300. A service contract costs $300 for the first year and increases $50 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n) = 2,300 + 275n + 25n. C(n) The average cost per year for n years is given by C(n) =- Complete parts (A) through (D). (A) Find the rational function č. 2300 C(n) = + 275 + 25n (B) Sketch a graph of C for 2sns 20. Choose the correct graph below. O B. O D. 1600 1600- 1600 1600- n 0f 25 (C) When is the average cost per year at a minimum, and what is the minimum average annual cost? [Hint: Refer to the sketch in part (B) and evaluate C(n) at appropriate integer values until a minimum value is found.] The average cost per year is at a minimum in approximately 10 years. (Type a whole number.) The minimum average annual cost is approximately $ per year. (Round to the nearest cent as needed.)
Transcribed Image Text:An office copier has an initial price of $2,300. A service contract costs $300 for the first year and increases $50 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n) = 2,300 + 275n + 25n. C(n) The average cost per year for n years is given by C(n) =- Complete parts (A) through (D). (A) Find the rational function č. 2300 C(n) = + 275 + 25n (B) Sketch a graph of C for 2sns 20. Choose the correct graph below. O B. O D. 1600 1600- 1600 1600- n 0f 25 (C) When is the average cost per year at a minimum, and what is the minimum average annual cost? [Hint: Refer to the sketch in part (B) and evaluate C(n) at appropriate integer values until a minimum value is found.] The average cost per year is at a minimum in approximately 10 years. (Type a whole number.) The minimum average annual cost is approximately $ per year. (Round to the nearest cent as needed.)
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