Suppose a company creates its own differentiated type of sneaker and is thus considered a monopolistically competitive firm.The firm has a constant marginal cost curve. For each unit of output that the monopolistically competitive firm produces it costs an additional $30.00.The firm's marginal revenue curve is MR=100-5Q, where Q is the quantity produced. The firms's perceived demand curve is P=100-2.5Q.

What is the monopolistically competitive firm's profit-maximizing output and price?Write the exact answer. Do not round