Suppose a firm faces an identical inverse demand curve of p = 150-q for each consumer in the market. Currently, the firm's average cost = marginal cost = $50. Determine the profit-maximizing price and identical lump-sum fee to charge with a two-part tariff. The profit-maximizing price to charge is $ . (Enter a numeric response using a real number rounded to two decimal places.) The profit-maximizing lump-sup fee to charge is $ . (Enter a numeric response rounded to the nearest dollar.)