An office copier has an initial price of $2,300. A service contract costs $200 for the first year and increases $60 per year

Question

An office copier has an initial price of $2,300. A service contract costs $200 for the first year and increases $60 per year thereafter. It can be shown that the total cost of the copier after n years is given by
C(n)=2,300+ 170n + 30n².
C(n)
The average cost per year for n years is given by C(n) =
n
(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.)
The minimum average annual cost is approximately $ per year.
(Round to the nearest cent as needed.)
(...)
g
The average annual cost is minimum in approximately
(Round to the nearest integer 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.
years.
€
O

Kunduz · Accepted Answer

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