[This question concerns long-run equilibrium so all variables in the questions are long-run.] Suppose Firm X has a cost function C(q) = q3 - 20q2 + 150q, from which we can derive its average cost function and marginal cost function as: AC(q) = q2 – 20q + 150, MC(q) = 3q2 – 40q +150. In each of the following 3 questions, you are given 2 statements—a price/quantity information and a market structure. In each question, determine and explain whether the 2 statements are consistent with each other. The long-runpriceis $73 and Firm X produces 11units. Firm X is in a perfectly competitive industry The long-run price is $73 and Firm X produces 11 units. Firm X is in a competitive selection industry. The long-run price is $75 and Firm X produces 5units. Firm X is in a monopolistically competitive industry.

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Chapter11: Profit Maximization
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  1. [This question concerns long-run equilibrium so all variables in the questions are long-run.]
    Suppose Firm X has a cost function

    C(q) = q3 - 20q2 + 150q,
    from which we can derive its average cost function and marginal cost

function as:

AC(q) = q2 – 20q + 150, MC(q) = 3q2 – 40q +150.

In each of the following 3 questions, you are given 2 statements—a price/quantity information and a market structure. In each question, determine and explain whether the 2 statements are consistent with each other.

  1. The long-runpriceis $73 and Firm X produces 11units. Firm X is in a perfectly competitive industry

  2. The long-run price is $73 and Firm X produces 11 units. Firm X is in a competitive selection industry.

  3. The long-run price is $75 and Firm X produces 5units. Firm X is in a monopolistically competitive industry.

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