(D) Graph the average cost function on a graphing calculator and use an appropriate command to find when the average annual cost is at a minimum. The average annual cost is minimum in approximately years. (Round to the nearest integer as needed.)

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 115CM
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part d

An office copier has an initial price of $2,600. A service contract costs $100 for the first year and increases $30 per year thereafter. It can be shown that the total cost of the copier after n years is given by
C(n) = 2,600
+ 85n + 15n2.
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.
2600
C(n) =
+ 85 + 15n
(B) Sketch a graph of C for 2<ns20. Choose the correct graph below.
Transcribed Image Text:An office copier has an initial price of $2,600. A service contract costs $100 for the first year and increases $30 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n) = 2,600 + 85n + 15n2. 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. 2600 C(n) = + 85 + 15n (B) Sketch a graph of C for 2<ns20. Choose the correct graph below.
The average cost per year is at a minimum in approximately 13 years.
(Type a whole number.)
The minimum average annual cost is approximately $ 480 per year.
(Round to the nearest cent as needed.)
(D) Graph the average cost function on a graphing calculator and use an appropriate command to find when the average annual cost is at a minimum.
The average annual cost is minimum in approximately
years.
(Round to the nearest integer as needed.)
Transcribed Image Text:The average cost per year is at a minimum in approximately 13 years. (Type a whole number.) The minimum average annual cost is approximately $ 480 per year. (Round to the nearest cent as needed.) (D) Graph the average cost function on a graphing calculator and use an appropriate command to find when the average annual cost is at a minimum. The average annual cost is minimum in approximately years. (Round to the nearest integer as needed.)
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