how laser eye surgery is performed

Help with Monopoly Question please?

The Laser Eye Clinic (LEC) is the only provider of laser eye surgery in a medium-sized city. Its fixed costs are $2.5 million per year. Its variable (and marginal) cost of each surgery is $500. Demand for its surgeries can be written as P = 2,500 – 0.25Q, which means that MR = 2,500 – 0.50Q, where P is the price of the surgery, MR is marginal revenue, and Q is the number of surgeries performed each year.

From the previous problems, you know that for LEC to maximize its yearly profits, it will perform 4,000 surgeries each year and charge $1,500 for each surgery. How much profit does LEC earn each year?

My answer is 6,000,000
However, i am not sure can someone please explain this question for me.
thanks

$ 1500000
Use LEC’s profit-maximizing quantity of 4,000 surgeries, performed at $1,500 each, to calculate its annual profit:

LEC’s total revenue is Q x P = 4,000 x $1,500 = $6,000,000.
LEC’s total variable cost equals $500 x Q = 500 x 4,000 = $2,000,000.
The setup of the problem states that LEC’s fixed annual fixed costs are $2,500,000.

Thus, LEC earns an annual profit of $6,000,000 – $2,000,000 – $2,500,000 = $1,500,000.

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