A Police Department Is Trying to Allocate Crime Control Resources

question 16

Multiple Choice

A police department is trying to allocate crime control resources between murder and burglary.Detectives cost $40,000 each.Suppose that she marginal benefit of one less murder is $20,000 while the marginal benefit of one less burglary is $1,000.The number of murders and burglaries that occur at different levels of detective allocation is shown in the table. $\begin{array}{ccc}\begin{array}{c}\text { Number of } \\\underline { \text { Detectives Assigned }}\end{array} & \begin{array}{c}\text { Number of } \\\underline { \text { Murders }}\end{array} & \begin{array}{c}\text { Number of } \\\underline { \text { Burglaries }}\end{array} \\ 0 & 20 & 100 \\1 & 16 & 60 \\2 & 13 & 30 \\3 & 11 & 10 \\4 & 10 & 0\end{array}$
Suppose the police department has $160,000 to spend on detectives.The allocation of detectives which results in the greatest social benefit is to assign

• A)all four detectives to murder prevention.
• B)two detectives to murder prevention and two to burglary.
• C)three detectives to murder prevention and one to burglary.
• D)one detective to murder prevention and three to burglary.

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Definitions:

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