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 CA (q,x) = q^2 + (x - 4)^2 . Firm B is a competitive firm and faces an equilibrium price of £10. Firm B’s cost function is CB (r,x) = r^2 + xr. A. 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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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 CA (q,x) = q^2 + (x - 4)^2 . Firm B is a competitive firm and faces an equilibrium price of £10. Firm B’s cost function is CB (r,x) = r^2 + xr.

A. Compute the equilibrium prices and quantities and the profits of the two separate, competitive firms. Interpret the first order conditions. Explain.

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.
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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