5 Suppose it costs $10,000 to purchase a new car. The annual operating cost and resale value of a used car are shown in Table 4. Assuming that one now has a new car, determine a replacement policy that minimizes the net costs of owning and operating a car for the next six years.

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TABLE 4 Age of Car (Years) Resale Value (S) Operating Cost (S) 1 7,000 300 (year 1) 2 6,000 500 (year 2) 3 4,000 800 (year 3) 4 3,000 1,200 (year 4) 5 2,000 1,600 (year 5) 6 1,000 2,200 (year 6)