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There are H consumers and n firms. The demand of each consumer isx(p) = 1 - p and the cost function of each firm is c(y) = (y)^2/2.
1. Compute the competitive equilibrium price, quantity and the consumers' and producers' surplus as functions of H and n.
2. Define social welfare as the sum of consumers' and producers' surplus and establish a relation between social welfare and H and n. What happens when H = 10 and n tends to infinite?
What is the optimal level of pollution P = 2P + P^2 => MC = 2 + 2P CC = 5 - 3P => MC = -3 to find the optimal level of pollution as recommended, we need to set total marginal cost = 0, then I have 2 + 2P -3 = 0 => 2P -1 = 0 => P = 0.5 You have alread..
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