At the beginning of each year, Jess's car is in good, fair, or broken-down condition. A good car will be good at the beginning of next year with probability 0.74; fair with probability 0.15; or broken-down with probability of 0.11. A fair car will be fair at the beginning of the next year with probability 0.63 or broken-down with probabilitv 0.37. It costs $ 15000 and a broken-down car has no trade-in value and must immediately be replaced by a good car. It costs $ 1000 per year to operate a good car and $ 2000 to operate a fair car. Should Jess replace his car as soon as it becomes fair car, or should Jess drive his car until it breaks-down? Assume that the cost of operating a car during a year depends of the type of car on hand at the beginning of the year. to purchase a good car; a fair car can be traded in for $ 5000 :

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Chapter1: Combinatorial Analysis
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At the beginning of each year, Jess's car is in good, fair, or broken-down condition. A
good car will be good at the beginning of next year with probability 0.74; fair with
probability 0.15; or broken-down with probability of 0.11. A fair car will be fair at the
beginning of the next year with probability 0.63 or broken-down with probabilitv 0.37.
It costs $ 15000
to purchase a good car; a fair car can be traded in for $ 5000 :
and a broken-down car has no trade-in value and must immediately be replaced by a
good car. It costs $ 1000 per year to operate a good car and $ 2000 to operate a
fair car. Should Jess replace his car as soon as it becomes fair car, or should Jess drive
his car until it breaks-down? Assume that the cost of operating a car during a year
depends of the type of car on hand at the beginning of the year.
Transcribed Image Text:At the beginning of each year, Jess's car is in good, fair, or broken-down condition. A good car will be good at the beginning of next year with probability 0.74; fair with probability 0.15; or broken-down with probability of 0.11. A fair car will be fair at the beginning of the next year with probability 0.63 or broken-down with probabilitv 0.37. It costs $ 15000 to purchase a good car; a fair car can be traded in for $ 5000 : and a broken-down car has no trade-in value and must immediately be replaced by a good car. It costs $ 1000 per year to operate a good car and $ 2000 to operate a fair car. Should Jess replace his car as soon as it becomes fair car, or should Jess drive his car until it breaks-down? Assume that the cost of operating a car during a year depends of the type of car on hand at the beginning of the year.
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