### Home > CALC > Chapter 8 > Lesson 8.1.4 > Problem 8-45

8-45.

The Pi hotel has 314 rooms. The charge per night is $159 with an average occupancy of 265. A marketing firm informs the management of the hotel that each $1 reduction in the nightly fee will entice two more guests to stay at the hotel. What should they charge in order to have the maximum revenue?

Revenue = (cost per room)(number of rooms sold)

Let *x* = number of times the price was decreased.