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Question 2 10 pts Sometimes undercover police will try to infiltrate a gang. One mechanism gangs can use to determine who really wants to be

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Question 2 10 pts Sometimes undercover police will try to infiltrate a gang. One mechanism gangs can use to determine who really wants to be a gangster is to encourage or require new members to get a gang tattoo. Presume that the benefit of getting a gang tattoo is acceptance by other gang members and the power to intimidate people who are not in the gang. Furthermore, the benefit of having a tattoo is 100 and is the same no matter what the size of the tattoo. However, the cost of getting a tattoo is increasing in the size of the tattoo and is higher for undercover police than someone legitimately interested in a thug life. The cost for undercover police is 10s and the cost for a thug is 5s where s is the size of the tattoo measured in square inches. If a gang were to require new members to get a tattoo, what size range would it need to require in order to separate undercover police from true thugs? Round your answers to two decimal places smallest effective size: largest effective size: NOTE: You will be required to show your calculations in Question #2 to receive full credit

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