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

Question

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 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 C n B Sketch a graph of C for 2 n 20 Choose the correct graph below O A AC 1500 0 25 Q Q OB per year years AC 1500 years 04 G The minimum average annual cost is approximately 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 O C 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 Type a whole number AC 1500 Q O D 40 1500 n 25 E G

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