The manager of a local motel asked you to figure out his cost structure to project his future operations. According to his records, the motel recorded the total costs of $72,000 by selling 7,500 rooms during the busiest month of the past year. During the slowest month, it sold 4,500 rooms at the total costs of $48,000. Based on the given information, please answer the following questions.

Find out the motels fixed cost amount per month

Find out the motels variable cost per room sold?