The total cost equation for a firm producing two products is TC(Q1, Q2) = 25 + Q12 + 4Q22 + 5Q1Q2 (a) Do cost complementarities exist for this firm? (b) Under what circumstances do economies of scope exist for this firm? (c) Suppose that Q1 = Q2 = 3. Do cost complementarities exist?

Survey Of Economics
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Chapter6: Proudction Costs
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The total cost equation for a firm producing two products is

TC(Q1, Q2) = 25 + Q12 + 4Q22 + 5Q1Q2

(a) Do cost complementarities exist for this firm?

(b) Under what circumstances do economies of scope exist for this firm?

(c) Suppose that Q1 = Q2 = 3. Do cost complementarities exist?

(d) Suppose that the firm is currently producing 5 units of Q1, and 10 units of Q2, What is the firm's total cost of production?

e) Suppose that the firm divests itself of the division selling Q1 to a competitor. How much will it cost the firm to continue producing 10 units of Q2? What is the total cost of producing both Q1 and Q2 if the firm producing Q1 produces 5 units?

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