(20 points) A new police car costs the Bay City Police Department $25,000. 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:
Period Annual Maintenance Cost
1st year 1000
2nd year 4000
3rd year 6000
4th year 8000
5th year 10000
Note that a car cannot be used after 5 years, it should be discarded after 5 years. 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 of use is also shown in the table.
At the end of year Used Selling Price
It is assumed that the price of a new car will increase $500 each year. The department?s objective is to
develop a car replacement schedule that will minimize total cost (i.e., the purchase cost of a new car
plus maintenance costs minus the money received for selling a used car) during the next 6 years (until
the end of year 6). Develop a car replacement schedule, using the shortest route method
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