The total cost (TC) of a monopolistic firm is a linear function of output (q), expressed as TC=20q. Market demand for the firm is p=100-2q.   a. Determine the monopolistic firm's profit-maximizing output and price.   b. Calculate the Lerner Index of the firm.   c. Determine the Pareto optimal level of output and price, where the sum of producer and the consumer surplus is maximal.

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