A steel mill produces jointly steel (s) and pollution (x). The pollution adversely affects a nearby...
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A steel mill produces jointly steel (s) and pollution (x). The pollution adversely affects a nearby fishery that catches fish (f). Both firms are price-takers. The steel mill's cost function is C(s) = s² – sx +x, and the fishery's cost function is C(f) = f² +xf .The market price of steel is $15 and the market price of fish is $11. (a) (20 points) Calculate the profit maximizing level of output, the amount of pollution for the merged fim and its profit. Is the merger Pareto improvement? Why or why not? (b) (10 points) Suppose that the merger is forbidden by the government. Instead, now the fishery has the property right to water. In other words, anybody who wants to pollute the water needs to buy a pollution right from the fishery. Let the price of the pollution right be P. Write down the steel mill's new profit function (7:) and the fishery's new profit function (). (c) (15 points) Calculate the profit maximizing level of output for each firm, the amount of pollution, and the price of pollution right. A steel mill produces jointly steel (s) and pollution (x). The pollution adversely affects a nearby fishery that catches fish (f). Both firms are price-takers. The steel mill's cost function is C(s) = s² – sx +x, and the fishery's cost function is C(f) = f² +xf .The market price of steel is $15 and the market price of fish is $11. (a) (20 points) Calculate the profit maximizing level of output, the amount of pollution for the merged fim and its profit. Is the merger Pareto improvement? Why or why not? (b) (10 points) Suppose that the merger is forbidden by the government. Instead, now the fishery has the property right to water. In other words, anybody who wants to pollute the water needs to buy a pollution right from the fishery. Let the price of the pollution right be P. Write down the steel mill's new profit function (7:) and the fishery's new profit function (). (c) (15 points) Calculate the profit maximizing level of output for each firm, the amount of pollution, and the price of pollution right. A steel mill produces jointly steel (s) and pollution (x). The pollution adversely affects a nearby fishery that catches fish (f). Both firms are price-takers. The steel mill's cost function is C(s) = s² – sx +x, and the fishery's cost function is C(f) = f² +xf .The market price of steel is $15 and the market price of fish is $11. (a) (20 points) Calculate the profit maximizing level of output, the amount of pollution for the merged fim and its profit. Is the merger Pareto improvement? Why or why not? (b) (10 points) Suppose that the merger is forbidden by the government. Instead, now the fishery has the property right to water. In other words, anybody who wants to pollute the water needs to buy a pollution right from the fishery. Let the price of the pollution right be P. Write down the steel mill's new profit function (7:) and the fishery's new profit function (). (c) (15 points) Calculate the profit maximizing level of output for each firm, the amount of pollution, and the price of pollution right. A steel mill produces jointly steel (s) and pollution (x). The pollution adversely affects a nearby fishery that catches fish (f). Both firms are price-takers. The steel mill's cost function is C(s) = s² – sx +x, and the fishery's cost function is C(f) = f² +xf .The market price of steel is $15 and the market price of fish is $11. (a) (20 points) Calculate the profit maximizing level of output, the amount of pollution for the merged fim and its profit. Is the merger Pareto improvement? Why or why not? (b) (10 points) Suppose that the merger is forbidden by the government. Instead, now the fishery has the property right to water. In other words, anybody who wants to pollute the water needs to buy a pollution right from the fishery. Let the price of the pollution right be P. Write down the steel mill's new profit function (7:) and the fishery's new profit function (). (c) (15 points) Calculate the profit maximizing level of output for each firm, the amount of pollution, and the price of pollution right.
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