The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 400 dollars per month.

The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 400 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 8 dollar increase in rent. Similarly, one additional unit will be occupied for each 8 dollar decrease in rent. What rent should the manager charge to maximize revenue?