(12 Points) Sweet Dreams is an upscale independent hotel that caters to both business and leisure travelers. On average, one-third of the guests checking in each day are leisure travelers. The rest are business travelers. Leisure travelers on average stay for 3.6 nights. twice as long as the average stay of business customers (i.e, the average stay of business travelers is 1.8 days). On an average day, 135 guests check into Sweet Dreams a) (3 points) What is the average stay time of a typical guest? b) (5 points) On average, how many travelers stay in the hotel on any given day? How many of them are business travelers and how many of them are leisure travelers on average? c) (4 points) The average business traveler pays a rate of $250 per night, while leisure travelers pay an average rate of $210 per night