5. 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?

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West Philly Center City Number of police AP TP MP AP TP MP 0 0 0 0 0 40 45 100 40 40 45 45 40 35 200 40 80 40 80 40 25 300 40 120 35 105 40 15 400 40 160 30 120 40 5 500 40 200 25 125