The per-week (inverse) demand for use of the Øresund Bridge between Denmark and Sweden is P = 13 − 0.15Q during peak traffic periods and P = 10 − 0.1Q during off-peak hours, where Q is the number of cars crossing the bridge in thousands and P is the toll in euros. If the marginal cost of using the bridge is MC = 5 + 0.2Q, what is the optimal peak load toll and off-peak load toll for crossing the bridge?

The per-week (inverse) demand for use of the Øresund Bridge between Denmark and Sweden is P = 13 − 0.15Q during peak traffic periods and P = 10 − 0.1Q during off-peak hours, where Q is the number of cars crossing the bridge in thousands and P is the toll in euros. If the marginal cost of using the bridge is MC = 5 + 0.2Q, what is the optimal peak load toll and off-peak load toll for crossing the bridge?

Macroeconomics

13th Edition

ISBN:9781337617390

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter5: Supply, Demand, And Price: Applications

Section5.11: Application 11: College Super Athlets

Problem 2ST

See similar textbooks

Similar questions

The estimated daily demand for river corssings on a proposed new bridge is: Qd = 100,000 - 20,000P where Qd is the quantity demanded measured in number of daily crossings and P is the price(toll) per crossing in dollars. Engineers estimate that constructing the new bridge will result in a fixed cost of $1.2 billion or $120,000 per day over the life of the bridge. Once constructed, there are no marginal costs and variable costs associated with the bridge's use. Based upon the above information, answer the following questions: a. If a private company were to build the bridge, what would be the profit-maximizing number of daily crossings? b. What price per crossing(toll) would the profit-maximizing company establish? c. What would be the socially optimal number of daily crossings? d. What deadweight loss would exist given your answers to part (a) and (b)? e. Would a profit-maximizing company build the bridge?
The function that relates the inverse of speed (1/S) (i.e., the time in minutes that it takes to travel 1 mile) to traffic (T) on a highway is 1/S = 4 + 0.05T. Demand for traffic (measure as traffic volume minute) on this road is T=6880-70 (1/S) Find the equilibrium traffic volume in the absence of any congestion toll. Find the marginal cost function for traffic volume, where cost is expressed as travel time per mile in minutes. per Find the optimal level of traffic volume. Find the optimal congestion toll, expressed in minutes. (Imagine that the congestion toll consists of sitting in the “penalty box" for this period of time.) The function that relates the inverse of speed (1/S) (i.e., the time in minutes that it takes to travel 1 mile) to traffic (T) on a highway is 1/S = 4 + 0.05T. Demand for traffic (measure as traffic volume per minute) on this road is T=6,880- 70-(1/S). a. Find the equilibrium traffic volume in the absence of any congestion toll. b. Find the marginal cost…
There are two polluters in an industry with the following cost functions: MAC1 = 182 - 0.14E1 MAC2 = 144 - 0.06E2 The government establishes a tradable pollution permit system and gives each polluter 800 permits (1600 permits in total). What will be the net gain for Polluter 1 from the trade?
Micropack producers would like to seek the advice of your Market Research company to advise and give your analysis of a new mask that allows greater protection from the Covid - 19 Virus. The following information about the company was given: The demand equation of x=35000-50p, where x is the demand at $p per mask was given. The cost of producing a mask was at a cost of $20. The company has an ongoing cost of 2000. Micropack would like to seek advice on a price of $30, if this will be profitable to the company with the hope that it becomes the best-selling mask and production could cease on the other type. Suggestions with reasoning are welcomed on a more appropriate price that would be financially sound. An analysis of the exact and approximate cost of producing 101st mask. An analysis of the cost, revenue and profit function must also be analysed in your advice to the company and the importance in decision making for the marginal functions of each, and what it signifies to the…
Given a transportation problem with the following costs, supply, demand, find the Optimal Solution:
Suppose that under the United States-Canada Air Quality Agreement, both countries agree to a combined 30 percent SO2 abatement standard. Further assume that the following SO2 abatement cost functions have been estimated by each country: TACUS = 500 + 1.5(AUS)2 MACUS = 3 AUS TACCAN = 1000 + 3(ACAN)2 MACCAN = 6 ACAN A. If the countries implement a uniform abatement standard, find the resulting values of TAC and MAC for each nation. Based on these values, is there an economic incentive the two nations to participate in an emissions trading program? Explain. B. Assuming a trading program is enacted, find the cost savings associated with a cost-effective abatement solution? C. What must be the price of a tradeable permit to achieve the cost-effective abatement allocation?
Multichoice company broadcasts to subscribers in Lusaka and Solwezi. The demand for each ofthese two groups are Qsz= 50 - (1/3) Ps and QUSK= 80 - (2/3) Pusk, where Q is in thousands ofsubscriptions per year and P is the subscription price per year. The cost of providing Q units.ofservice is given by C (Q) = 1000 + 30Q, where Q = Qsz + QusK. Assuming Multichoice is aMonopoly and can engage in third-price discrimination, then1. What is the profit-maximizing price and quantity in Solwezi Market?2. What is the profit-maximizing price and quantity in Lusaka Market?3. Suppose the Monopoly can only charge a single. What price should it charge and what isthe total quantity sold?
SJ Mask producers would like to seek the advice of your Market Research company to advise and give your analysis of a new mask that allows greater protection from the Covid -19 Virus. The following information about the company was given: The demand equation of x=35000-50p, where x is the demand at $p per mask was given. The cost of producing a mask was at a cost of $20. The company has an ongoing cost of 2000. SJ mask would like to seek advice on a price of $30, if this will be profitable to the company with the hope that it becomes the best-selling mask and production could cease on the other type. Suggestions with reasoning are welcomed on a more appropriate price that would be financially sound. An analysis of the exact and approximate cost of producing 101st mask. An analysis of the cost, revenue and profit function must also be analysed in your advice to the company and the importance in decision making for the marginal functions of each, and what it signifies to the company.…
It was not quite what the planners had in mind when Sweden and Denmark opened their expensive bridge across the Oresund strait in July. After an early boost from summer tourism, car crossings have fallen sharply, while trains now connecting Copenhagen, the Danish capital, and Malmo, Sweden’s third city, are struggling to run on time. Many people think the costs of using the bridge are simply too high. And, from the point of view of Scandinavian solidarity, the traffic is embarrassingly one-sided: far more Swedes are going to Denmark than vice versa. So last week the authorities decided to knock almost 50% off the price of a one-way crossing for the last three months of this year. The two governments, which paid nearly $2 billion for the 16km (10-mile) state-owned bridge-cumtunnel, reckoned that, above all, it would strengthen economic ties across the strait and create, within a few years, one of the fastest-growing and richest regions in Europe. But ministers on both sides of the…
It was not quite what the planners had in mind when Sweden and Denmark opened their expensive bridge across the Oresund strait in July. After an early boost from summer tourism, car crossings have fallen sharply, while trains now connecting Copenhagen, the Danish capital, and Malmo, Sweden’s third city, are struggling to run on time. Many people think the costs of using the bridge are simply too high. And, from the point of view of Scandinavian solidarity, the traffic is embarrassingly one-sided: far more Swedes are going to Denmark than vice versa. So last week the authorities decided to knock almost 50% off the price of a one-way crossing for the last three months of this year. The two governments, which paid nearly $2 billion for the 16km (10-mile) state-owned bridge-cumtunnel, reckoned that, above all, it would strengthen economic ties across the strait and create, within a few years, one of the fastest-growing and richest regions in Europe. But ministers on both sides of the…
CAFE (company average fuel economies) standards stipulate the avenge fuel efficiency (miles per gallon) of can produced by each manufacturer. That is, the average fuel efficiency of can sold by GM, Ford, Chrysler, Toyota, and so forth must be at least equal to the standard set by the government. Explain why such a system introduces both inefficiencies and inequities among different automobile manufacturers.
Gerard.inc. is one of the leading producers of dairy exports. The company has 2 variants of superior milk, namely mocha and green tea. Based on historical data, the R&D team has found that the advantage per liter for each milk variant follows the following equation: πmocha = $45 - 0.9x and πgreen-tea = $65 - 1.7y Where x is the number of liters of mocha milk produced and y is the number of liters of green tea milk produced. It takes 2 hours to produce 1 liter of mocha milk and 5 hours to produce 1 liter of green tea milk. With the current number of workers, companies have a total of 40 hours of work in a day, and everything should be used to make both variants. The company wants to know the optimal amount of milk to be produced. a. How many liters of mocha milk and green tea should the company produce? b. What is the optimal objective function value based on your calculations? c. What is the lagrange multiplier value and what does it mean?