At the beginning of each year, my car is in good, fair, or broken-down condition. A good car will be good at the beginning of next year with probability 0.85; fair with probability .10; or broken-down with probability 0.05. A fair car will be fair at the beginning of the next year with probability .70 or broken-down with probability 0.30. It costs $6,000 to purchase a good car, a fair car can be traded in for $2,000; and a broken-down car has no trade-in value and must immediately be replaced by a good car. It costs $1,000 per year to operate a good car and $1,500 to operate a fair car. Should replace my car as soon as it becomes a fair car, or should I drive my car until it breaks down? Assume that the cost of operating a car during a year depends on the type of car on hand at the beginning of the year (after a new car, if any, arrives).