Exam 33: Externalities-Part A

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A small coffee company roasts coffee beans in its shop.The unroasted beans cost the company $2 per pound.The marginal cost of roasting coffee beans is $(150 - 10q + q2)/100 per pound when q pounds are roasted.The smell of roasting beans imposes costs on the company's neighbors.The total amount that neighbors would be willing to pay to have the shop stop roasting altogether is 5q2, where q is the number of pounds being roasted.The company sells its output in a competitive market at $4.50 per pound.What is the socially efficient amount of coffee for the company to roast?

(Multiple Choice)
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Two stores are located side by side.They attract customers to each other and to themselves by advertising.The profit functions of the two stores are (45 + x2)x1 - 2x21 for store 1 and (90 + x1)x2 - 2x22 for store 2, where x1 and x2 are total advertising expenditures by stores 1 and 2 respectively.If each store sets its advertising expenditures independently (as in Nash equilibrium), how much would store 1 spend on advertising?

(Multiple Choice)
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The 130 campers at Bear Creek Campground love their own campfires but hate the smoke from their neighbors' campfires.Each camper's utility function is U = 25f - f 2 - s, where f is the number of hours her own campfire burns per day and where s is the amount of smoke in the air.It happens that s is 11 times the average amount of hours that campers use their fires.The campground authority could make all campers better off by limiting the number of hours of campfire per day for everyone.How many hours of campfire per day should the authority allow each camper in order to make the typical camper as well off as possible?

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If preferences are quasilinear, then the delineation of property rights has no distributional consequences.

(True/False)
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Suppose that in Horsehead, Massachusetts, the cost of operating a lobster boat is $4,000 per month.Suppose that if x lobster boats operate in the bay, the total monthly revenue from lobster boats in the bay is $1,000(12x - x2).If there are no restrictions on entry and new boats come into the bay until there is no profit to be made by a new entrant, then the number of boats who enter will be X1.If the number of boats that operate in the bay is regulated to maximize total profits, the number of boats in the bay will be X2.

(Multiple Choice)
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Two stores are located side by side.They attract customers to each other and to themselves by advertising.The profit functions of the two stores are (45 + x2)x1 - 2x21 for store 1 and (75 + x1)x2 - 2x22 for store 2, where x1 and x2 are total advertising expenditures by stores 1 and 2 respectively.If each store sets its advertising expenditures independently (as in Nash equilibrium), how much would store 1 spend on advertising?

(Multiple Choice)
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If there are negative externalities in production or consumption, competitive equilibrium is unlikely to be Pareto efficient but positive externalities enhance the efficiency of the market.

(True/False)
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An airport is located next to a housing development.Where X is the number of planes that land per day and Y is the number of houses in the housing development, profits of the airport are 28X - X2 and profits of the developer are 20Y - Y2 - XY.Let H1 be the number of houses built if a single profit-maximizing company owns the airport and the housing development.Let H2 be the number of houses built if the airport and the housing development are operated independently and the airport has to pay the developer the total "damages" XY done by the planes to the profits of the developer.

(Multiple Choice)
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Firm 1 produces output x with a cost function c1(x)= x2 + 10.Firm 2 produces output y with a cost function c2(y, x)= y2 +x.Thus, the more that firm 1 produces, the greater are firm 2's costs.Both firms face competitive product markets.The competitive price of x is $20 and the competitive price of y is $40.No new firms can enter the industry and the old ones must remain.The efficient Pigouvian tax on the x good is

(Multiple Choice)
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An apiary is located next to an apple orchard.The apiary produces honey and the apple orchard produces apples.The cost function of the apiary is CH(H, A)= H 2/100 - 2A and the cost function of the apple orchard is CA(H, A)= A2/100, where H and A are the number of units of honey and apples produced respectively.The price of honey is $1 and the price of apples is $3 per unit.Let A1 be the output of apples if the firms operate independently, and let A2 be the output of apples if the firms are operated by a single owner so as to maximize total profit.

(Multiple Choice)
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If your consumption of toothpaste produces positive externalities for your neighbors (which you ignore), then you are consuming less toothpaste than is Pareto optimal.

(True/False)
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The "tragedy of the commons" refers to the tendency for common property to be overused.

(True/False)
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Millie Bush has written a best-seller.Revenues net of production costs are $300T1/3A1/3, where T is the number of publicity trips Millie takes and A is the number of ads for the book that appear.Millie has to pay for all of her own publicity trips, which cost $100 each.Her publisher pays for the advertising, which costs $100 per ad.Revenues from the book are split equally between Millie and her publisher.Let T1 be the number of trips that Millie would choose to make in a Nash equilibrium where she chooses the number of trips and the publisher chooses the amount of advertising.Let T2 be the number of trips that Millie should make if trips and advertising are determined so as to maximize total profits net of trip and ad costs.

(Multiple Choice)
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Marbella has 101 residents.All wear the same fancy clothes and each has the same utility function, u(m, b, B)= m + 24b - b2 - B/50, where m is the amount of macaroni (in kilograms)that he or she eats per day, b is the number of hours that he or she spends on the beach per day, and B is the total number of person-hours spent per day on the beach by other residents of Marbella.Each has an income of $10 per day and macaroni costs $1 per kilogram.The city council is considering a law that would limit the amount of time that any person can spend on the beach.How many hours per day should they allow in order to maximize the utility of a typical Marbellite?

(Multiple Choice)
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Mike's utility function is U(c, d, h)= 4c + 14d - d 2 - 6h, where d is the number of hours per day that he spends driving around, h is the average number of hours per day spent driving around by other citizens of his town, and c is the amount of money he has to spend on other things than gasoline and auto repairs.There are 1,001 identical citizens in Mike's home town.Mike's expenses for gasoline and auto repairs amount to $.50 per hour for the time he spends driving.If Mike believes that his amount of driving won't affect the amount that others drive, how many hours per day will he choose to drive?

(Multiple Choice)
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An apiary is located next to an apple orchard.The apiary produces honey and the apple orchard produces apples.The cost function of the apiary is CH(H, A)= H 2/100 - 1A and the cost function of the apple orchard is CA(H, A)= A2/100, where H and A are the number of units of honey and apples produced respectively.The price of honey is $5 and the price of apples is $6 per unit.Let A1 be the output of apples if the firms operate independently, and let A2 be the output of apples if the firms are operated by a single owner so as to maximize total profit.

(Multiple Choice)
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Two stores are located side by side.They attract customers to each other and to themselves by advertising.The profit functions of the two stores are (75 + x2)x1 - 2x21 for store 1 and (105 + x1)x2 - 2x22 for store 2, where x1 and x2 are total advertising expenditures by stores 1 and 2 respectively.If each store sets its advertising expenditures independently (as in Nash equilibrium), how much would store 1 spend on advertising?

(Multiple Choice)
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Two stores are located side by side and attract customers to each other and to themselves by advertising.Where x1 and x2 are the advertising expenditures of stores 1 and 2, the profits of the firms are (48 + x2)x1 - 2(x1)2 for store 1 and (54 + x1)x2 - 2(x2)2 for store 2.Knowing these functions, one investor buys both stores.In order to maximize his total profits, how much should he spend on advertising for store 1?

(Multiple Choice)
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An apiary is located next to an apple orchard.The apiary produces honey and the apple orchard produces apples.The cost function of the apiary is CH(H, A)= H 2/100 - 3A and the cost function of the apple orchard is CA(H, A)= A2/100, where H and A are the number of units of honey and apples produced respectively.The price of honey is $2 and the price of apples is $7 per unit.Let A1 be the output of apples if the firms operate independently, and let A2 be the output of apples if the firms are operated by a single owner so as to maximize total profit.

(Multiple Choice)
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An airport is located next to a housing development.Where X is the number of planes that land per day and Y is the number of houses in the housing development, profits of the airport are 36X - X2 and profits of the developer are 42Y - Y2 - XY.Let H1 be the number of houses built if a single profit-maximizing company owns the airport and the housing development.Let H2 be the number of houses built if the airport and the housing development are operated independently and the airport has to pay the developer the total "damages" XY done by the planes to the profits of the developer.

(Multiple Choice)
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