Suppose a firm A produces a product q, but also pollution x that affects a second firm B. Firm A is a competitive firm and faces an equilibrium price of £12 for its product. The cost function of firm A is . Firm B is a competitive firm and faces an equilibrium price of £10. Firm B’s cost function is . Compute the social optimum, that is, the equilibrium prices, quantities, and profit when firm A and B are merged. Interpret the conditions
Suppose a firm A produces a product q, but also pollution x that affects a second firm B. Firm A is a competitive firm and faces an equilibrium price of £12 for its product. The cost function of firm A is . Firm B is a competitive firm and faces an equilibrium price of £10. Firm B’s cost function is . Compute the social optimum, that is, the equilibrium prices, quantities, and profit when firm A and B are merged. Interpret the conditions
Chapter1: Making Economics Decisions
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Suppose a firm A produces a product q, but also pollution x that affects a second firm B. Firm A is a competitive firm and faces an
Compute the social optimum, that is, the

Transcribed Image Text:8.
a) Suppose a firm A produces a product q, but also pollution x that affects a second firm B.
Firm A is a competitive firm and faces an equilibrium price of £12 for its product. The cost
function of firm A is С₁(q, x) = q² + (x − 4)². Firm B is a competitive firm and faces an
equilibrium price of £10. Firm B's cost function is CÂ(r, x) = r² + xr. Compute the equilibrium
prices and quantities and the profits of the two separate, competitive firms. Interpret the first
order conditions. Explain.
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