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2. (35 points) Perfectly Competitive Equilibrium Consider the following cost function: c(q) = q~ +4 (a) (5 points) Find the short-run supply curve. (b) (10 points) If there are 10 firms in the market. And the market demand is q" = 200-5p. Find the short-run equilibrium price and quantity. (c) (5 points) If the government introduces a sales tax of $5. Find the price payed by the buyers, the price receive by the sellers and the government revenues. (d) (15 points) Find the long-run equilibrium price, profits and number of firms. (Ignore the tax from part (c))