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A Police Department Is Trying to Allocate Crime Control Resources

question 12

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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.  Number of  Detectives Assigned  Number of  Murders  Number of  Burglaries 0201001166021330311104100\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}
The marginal benefits of 1,2,3,and 4 detectives being assigned to burglary prevention are


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