Use derivative

The Denham Motel in Leduc has 90 rooms. If $300 per room is charged the owner will rent 40 rooms per night. For every $25 the price per room is dropped, 10 additional rooms will be rented. Determine what should be charged per room to maximize revenue and what the maximum revenue is on a daily basis. Select one: O a. Charge $150 per room, maximum revenue is $10000 per night. O b. Charge $175 per room, maximum revenue is $15750 per night. c. Charge $200 per room, maximum revenue is $16000 per night. O d. Charge $250 per room, maximum revenue is $18250 per night