The McGillian is an upscale independent hotel that caters to both business and leisure travelers. On average, $20\%$ of the guests checking in each day are leisure travelers. Leisure travelers generally stay for $2\mathrm{.}6$ nights$-$twice as long as the average business customer. On an average day, $185$ guests check into The McGillian. The average business traveler pays a rate of $$300$ per night, while leisure travelers pay an average rate of $$130$ per night. What is the average revenue The McGillian receives per night per occupied room?