Suppose a company creates its own differentiated type of sneaker and is thus considered a monopolistically competitive firm. This firm has a constant marginal cost curve. For each unit of output that the monopolistically competitive firm produces, it costs an additional $50$⁢50. The firm's marginal revenue curve is MR=80−6QMR=80−6⁢Q, where Q is the quantity produced. The firm's perceived demand curve is P=80−3QP=80−3⁢Q. What is the monopolistically competitive firm's profit-maximizing output and price? Write the exact answer. Do not round.

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