A real estate office handles a 80-unit apartment complex. When the rent is $500 per month, all units are occupied. For each $30 increase in rent, however, an average of one unit becomes vacant. Each occupied unit requires an average of $45 per month for service and repairs. What rent should be charged to obtain a maximum profit?

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A real estate office handles a 80-unit apartment complex. When the rent is $500 per month, all units are occupied. For each $30 increase in rent, however, an average of one unit becomes vacant. Each occupied unit requires an average of $45 per month for service and repairs. What rent should be charged to obtain a maximum profit?

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