The government of a small rural island is currently inviting investors to bid for the exclusive right to provide Wifi service to its residents. The market demand for this service is P= 55 - 0.01Q, where Q is the number of households that would subscribe to the service and P is the monthly fee charged to the subscribers. A prospective company with a constant average total cost and marginal cost of $5 for providing such service to each household bids and wins the exclusive right for providing such service, making it a monopolist. How much profit is the company going to earn?

a) $62,500

b) $75,000

c) $112,500

d) $35,000

e) $0