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An office copier has an initial price of $2,200. A service contract costs $300 for the first year and increases $30 per year thereafter.

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An office copier has an initial price of $2,200. A service contract costs $300 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) = 2,200 + 285n+ 15n. The average cost per year for n years is given by C(n) = C(n) n Complete parts (A) through (D). (A) Find the rational function C. Cin)= (B) Sketch a graph of C for 2 n 20. Choose the correct graph below. A. 1500- C. OB. Q 1500- 1500- (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 $ (Round to the nearest cent as needed.) per year. (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 O D. C 1500- 25

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