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A property management company manages an apartment block containing 150 units. All 150 units are rented at a monthly rate of $460 per unit and

A property management company manages an apartment block containing 150 units. All 150 units are rented at a monthly rate of $460 per unit and each unit costs the property management company $72.50/month for utilities and repairs. For every $25 rent increase, four fewer apartments are occupied. What rent should be charged in order to realize the most profit?

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