A hotel has 10 luxury units that are very popular during the summer season. From past experience, the manager knows that all 10 units will sell out if she charges a price of $300 per day. Due to corporate pressures, she has been forced to experiment with rate hikes and discovers that for every $50 increase in price one less unit will be occupied. She cannot lower the price below $300. What rent should she charge in order to maximize revenue? What is that maximum revenue? How many units will be occupied?