2. Suppose the government is considering an increase in the toll on a certain stretch of highway from $.40 to $.50. At present, 50,000 cars per week use that highway stretch; after the toll is imposed, it is projected that only 40,000 cars per week will use the highway stretch. a. Assuming that the marginal cost of highway use is constant (i.e., the supply curve is horizontal) and equal to $.40 per car, what is the net cost to society attributable to the increase in the toll? (Hint: the toll increase will cause the supply curve, not the demand curve, to shift.) b. Because of the reduced use of the highway, the government would reduce its purchases of concrete from 20,000 tons per year to 19,000 tons per year. Thus, if the price of concrete were $25 per ton, the government's cost savings would be $25,000. However, the government's reduced demand for concrete causes its market price to fall from $25 to $24.50 per ton. Moreover, because of this reduction in price, the purchases of concrete by nongovernment buyers increase by 300 tons per year. Assuming that the factor market for concrete is competitive, can the government's savings of $25,000 be appropriately used as the measure of the social value of the cost savings that result from the government purchasing less concrete? Or would shadow pricing be necessary?
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The initial revenue from the toll is the product of the number of cars using the highway and the toll per car before the increase. This is given by: \[ \text{Initial Revenue} = \text{Number of cars} \times \text{Toll per car} \] \[ \text{Initial Revenue} = 50,000 Show more…
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Akash M.
The inverse demand for traveling on a given highway is D(q) = 100 - q. This function tells us the marginal benefit (measured in dollars) of adding another vehicle to the road when there are already q vehicles on the road. (a) Why might the marginal benefit of using the road differ across people? If q people use the highway, then travel times (measured in minutes) are T(q) = 20 + q/4. Everyone values their time at 50 cents per minute. (b) When there is no toll, what are the equilibrium quantity of road users, per person travel time (minutes), total travel time (minutes), per person cost (dollars), and consumer surplus? (c) When the toll is set to maximize social welfare, what are the equilibrium quantity of road users, per person travel time (minutes), total travel time (minutes), per person cost (dollars), toll, toll revenue, and consumer surplus plus toll revenue? (d) Who is hurt, who is better off? Specifically, can you tell me for each agent how much better or worse off they are? (e) When the toll is set to maximize profits, what are the equilibrium quantity of road users, per person travel time (minutes), total travel time (minutes), per person cost (dollars), toll, toll revenue, and consumer surplus plus toll revenue? (f) Is it better for the road to be free, or have a toll set to maximize profits? Define better as the situation with a higher sum of consumer and producer surplus (i.e., toll revenue).
Imagine that to produce one ream of paper you need 10 trees. Say that the market demand for reams is D(p) = 50 - p. Suppose that cutting a tree costs $1 and that there are two paper-producing companies in this economy. The first company owns a forest with 500 trees, the second one owns a forest with 300 trees. Assume further that these trees are fixed amounts (i.e. after each firm chops down all the trees it owns, it has none left, and the firms cannot grow more trees). What is the market supply for reams? What is the equilibrium price and quantity of reams? Suppose that guitars are made with the same wood used to produce paper, and that demand for guitars increases. What happens to the cost of producing reams? Justify your answer. Does the equilibrium price and quantity for reams rise, fall, or remain equal after the increase in demand for guitars? Hint: You can use a picture to justify your answer. Suppose that to preserve trees the government taxes reams of paper. True or false: if the tax imposed by the government is 10% of the price of a ream, then the equilibrium price of paper reams increases by less than 10%? Hint: remember to justify your answer. Just claiming "true" or "false" will get you no points in an exam. Repeat the last bullet point but now assume that the demand for reams of paper is D(p) = 100 - p.
Supreeta N.
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