Consider a firm in a perfectly competitive market with total costs given by ??=?3 −15?2 +100?+30 a. What is this firm's marginal cost function? Over what range of output are the firm's marginal costs decreasing? Increasing? b. Suppose that the market price is $52. What is this firm's profit-maximizing level of output? How do you know this is the profit-maximizing output? How much profit does this firm earn by producing the profit-maximizing output?

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