In: Economics
The Philadelphia Police Department must decide how to allocate police officers between West Philadelphia and Center City. Measured in arrests per hour, the average product, total product, and marginal product in each of these two areas are given in the table below. Currently, the police department allocates 200 police officers to Center City and 300 to West Philadelphia. If police can be redeployed only in groups of 100, how, if at all, should the police department reallocate its officers to achieve the maximum number of arrests per hour? Explain.
Number of Police |
West Philly |
Center City |
||||
AP |
TP |
MP |
AP |
TP |
MP |
|
0 |
0 |
0 |
--- |
0 |
0 |
--- |
100 |
40 |
40 |
40 |
45 |
45 |
45 |
200 |
40 |
80 |
40 |
40 |
80 |
35 |
300 |
40 |
120 |
40 |
35 |
105 |
25 |
400 |
40 |
160 |
40 |
30 |
120 |
15 |
500 |
40 |
200 |
40 |
25 |
125 |
5 |
Explanation:-
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