A new police car costs the Bay City Police Department $26,000. The annual maintenance cost for a car depends on the age of the car at the beginning of the year. (All cars accumulate approximately the same mileage each year.) The maintenance costs increase as a car ages, as shown in the following table:
Car Age (yr.)
Annual Maintenance Cost ($)
Used Selling Price ($)
0
3,000
–
1
4,500
15,000
2
6,000
12,000
3
8,000
8,000
4
11,000
4,000
5
14,000
2,000
6
0
In order to avoid the increasingly high maintenance costs, the police department can sell a car and purchase a new car at the end of any year. The selling price for a car at the end of each year
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