Suppose a thief stole a car valued at $30,000 from your neighbor's driveway. The thief spent $100 on tools in preparation for his act. During the day the thief works as a laborer and earns $20,000/year.The thief understands that the probability of being caught is 10%, in which case he will spend $1,000 on court fees and 6 months in jail.a. What is the benefit of this crime for the thief?b. What are the costs to the thief?c. Is this thief a rational criminal? (hint: compare costs and benefits; do benefits exceed costs?)d. What costs does this crime impose on society, including victims and local residents not directly involved in this incident? e. Suggest a prevention policy or strategy that might decrease benefits or increase costs for the criminal, and therefore reduce the incentive of committing this type of crime.