An office copier has an initial price of $2,200. 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) = 2.200 +275n +25n². C(n) The average cost per year for n years is given by C(n)=- n Complete parts (A) through (D). (A) Find the rational function C. 2200+275n+25n² n C(n) = (B) Sketch a graph of C for 2 ≤ n ≤20. Choose the correct graph below. OA. A 1500 Q G B. 1500- -O 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 [ years. (Type a whole number.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
icon
Related questions
Question

No hand written responses. Can you help me solve this problem by providing a step-by-step breakdown in laymens terms for each part so that I can work through it on my own? 

An office copier has an initial price of $2,200. 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)= 2,200+275n+25n².
The average cost per year for n years is given by T(n) = C(n)
n
Complete parts (A) through (D).
(A) Find the rational function C.
C(n) =
O A.
(B) Sketch a graph of C for 2 ≤n ≤20. Choose the correct graph below.
1500
2
2200 +275n+25n
n
25
Q
B.
1500-
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 years.
(Type a whole number.)
Transcribed Image Text:An office copier has an initial price of $2,200. 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)= 2,200+275n+25n². The average cost per year for n years is given by T(n) = C(n) n Complete parts (A) through (D). (A) Find the rational function C. C(n) = O A. (B) Sketch a graph of C for 2 ≤n ≤20. Choose the correct graph below. 1500 2 2200 +275n+25n n 25 Q B. 1500- 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 years. (Type a whole number.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage