Dr Jones, a Respected Chiropractic Physician, Believes His Skills at Aligning

Dr. Jones, a respected chiropractic physician, believes his skills at aligning spines should earn 50 percent as much as the costs of providing alignment services, so he chooses a markup of 50 percent on his average total costs. A marketing research firm has estimated the demand for his work as a linear function of the price he charges:
Q = 300 - 1/3 P
where Q is the number of back alignments performed each month, and P is the average price of a back alignment. His accountant tells him that his average variable costs are constant and equal to $204 per alignment. Total fixed cost is $9,900 per month.
-Dr. Jones, while happy that cost-plus pricing has improved his profits, wonders if he actually maximizing his profit. To find out, he hires a consultant who applies the MR = MC rule to find the profit-maximizing price, number of patients, and profit. The consultant reports the following values:
P* = $________, Q* = ________, and maximum profit = $____________