Suppose that the social cost of crime, C(L), is a decreasing function of the number of police employed,L. Let the cost of maintaining the police force be wL, where w is the wage rate.(c) Show graphically how you would choose the efficient size of the police force. (Assume that thefunction C(L) is decreasing at a decreasing rate.) Use Google draw (lines and curves are the onlyfunctions you need). Afterward, download the image as JPEG and upload it into the question.(d) How will an increase in the wage rate of police officers affect the efficient amount of crime?Suppose the following information has been gathered on the enforcement of a speed limit on aparticular highway over a holiday weekend:No. ofspeedersProbability ofExpenditure onenforcement apprehension ( p)Еxpectedfine (pf)$ 1,000.12$1,00010,000.550500100,000.91001001,0005(e) Suppose the goal is to limit the number of speeders to 500. What actual fine, f, and whatprobability of apprehension, p, minimizes the cost of achieving this goal?(f) Suppose the actual fine for speeding is statutorily capped at $100. What now is the minimumexpenditure on enforcement that achieves the goal of 500 speeders?

Suppose that the social cost of crime, C(L), is a decreasing function of the number of police employed, L. Let the cost of maintaining the police force be wL, where w is the wage rate. (c) Show graphically how you would choose the efficient size of the police force. (Assume that the function C(L) is decreasing at a decreasing rate.) Use Google draw (lines and curves are the only functions you need). Afterward, download the image as JPEG and upload it into the question. (d) How will an increase in the wage rate of police officers affect the efficient amount of crime?

Suppose that the social cost of crime, C(L), is a decreasing function of the number of police employed, L. Let the cost of maintaining the police force be wL, where w is the wage rate. (c) Show graphically how you would choose the efficient size of the police force. (Assume that the function C(L) is decreasing at a decreasing rate.) Use Google draw (lines and curves are the only functions you need). Afterward, download the image as JPEG and upload it into the question. (d) How will an increase in the wage rate of police officers affect the efficient amount of crime?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

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…
The following accompanying table shows the relationship between the speed of a computer's CPU and its benefits and costs. Assume that all other features of the computer are the same (that is, CPU speed is the only source of variation), and only the CPU speeds listed below are available for purchase. CPU Total Marginal Total Marginal GHz Benefit Benefit Cost Costs 2.0 $1,000 $900 2.5 $1,400 $100 $1,200 $1,500 3.0 $300 3.5 $1,900 4.0 $2,000 $400 The total benefit of a 3.0GHZ computer is:
5. 7) Fifteen years ago, the town of Easton decided to increase its annual spending on education so that its high school graduates would be able to earn higher wages. Now Easton has asked you to evaluate the effectiveness of the spending increase. Their data show that before the spending increase, the average salary of recent high school graduated was $25,000 and that now the average salary has risen to $28,500. Fortunately for your analysis a neighboring community did not change its annual spending on education. In the other town 15 years ago high school graduates earned an average of $22,500, and now the average is $23,750. a) Use a differences-in-differences estimator to determine whether Easton’s spending increase potentially caused the wages of high school graduates to rise. b) What underlying assumption do you have to make in order for your estimate to be valid? What might cause that underlying assumption to not be valid?
The cost of controlling carbon dioxide emissions [C(E)] at a firm goes up rapidly as the amount of emissions (E) increase. Let's assume the relationship is defined by the function below. C(E)= 5000+ 40E +2E² E20 where E is measured in tonnes per year and C is measured in dollars per year. a) Determine the Marginal Cost function for controlling carbon dioxide emissions and find the marginal cost at 50 tonnes of emissions: b) Determine the Average Cost Function for controlling carbon dioxide emissions and find the tonnes of emissions at minimum average cost. c) The government is charging a tax of $270 for every tonne of carbon dioxide emitted. At, 50 tonnes of emissions, is it profitable for the firm to control emissions on its own or pay the carbon tax?
The following accompanying table shows the relationship between the speed of a computer's CPU and its benefits and costs. Assume that all other features of the computer are the same (that is, CPU speed is the only source of variation), and only the CPU speeds listed below are available for purchase. CPU Total Marginal Total |Marginal GHz Benefit Benefit Cost Costs 2.0 $1,000 $900 2.5 $1,400 $100 3.0 $300 $1,200 3.5 $1,900 $1,500 4.0 $2,000 $400 Application of the Cost-Benefit Principle would lead one to purchase a computer.
Your firm's research department has estimated your total revenues to be and your total costs to be . What level of Q maximizes net benefits? (Note that the marginal functions are MR(Q) = 30,000 - 160Q and MC(Q) = 40Q)
The wage rate of Zeta Corp. employees is 20 million per month, while the cost of one unit of machine is 80 million per month. Currently, Zeta Corp. produces 100 units of output and employs 20 employees and uses 5 units of production machines. This combination of factors of production is the most efficient for the company. So If Zeta Corp. wants to increase its output to 200 units but it cannot change its number of machines (from 5 units), what is the optimal number of employees and production costs of Zeta Corp.?
A lake has two species of fish: bass and catfish. The number of bass and catfish living in the lake, B and C respectively, depend on the temperature of the lake, T (in degrees Farenheit). The functions modeling this dependency are given below: B(T) = 8T2 + 976T – 28890 С(Т) 3D — 2T?+244T — 6893 What are the two temperatures at which the number of bass in the lake is the same as the number of catfish? Enter exact expressions or round your answers to the nearest thousandth. T : T
Suppose a certain city has a monopoly cable-television company. This company has total costs TC = Q2 + 10Q + 75. (Hint: using calculus, this means MC = 2Q + 10 since MC is the derivative of TC with respect to output.) The demand in the community is approximated by the equation Qd = 85 - P/2 (alternatively, you can write the demand equation as Qd = 85 – 0.5P). Graphically depict the demand curve as well as the marginal cost (MC) curve. If the cable company is free to choose its own price Pm and quantity Qm, graphically depict the monopoly equilibrium price and quantity. Add any other curve(s) to your diagram that may be required to obtain this outcome. Compute and state the exact monopolist equilibrium price Pm and quantity Qm that you depicted graphically.
A firm has a production function Y=150N^0.6. The real wage is W=30. The production process of this firm causes pollution. The government passes a law that requires the firm to stop polluting. This firm discovers that it can prevent pollution by hiring 0.2 additional workers for each worker in the production process to clean up. Let N denote the amount of labor hired on the production line. If the firm wants to maximize its profit, what should be the value of N?
Suppose that the annual maintenance cost of a public park is $40,000. The park has no entrance fee and the local government is under considerable pressure to sell it to urban developers. You are asked to estimate the value of the park to the public by using the travel cost method. The park is visited by people living in five concentric zones around it. Each zone has a population of 5000, and the total travel cost for a visit to the park from zone i is given by TCi = 4 (i -1), where i = 1,...,5. For each zone, the estimated relationship between visitation rate V (defined as annual number of visits/(population of zone/1000)) and total travel cost (TC) is given by V = 100 - 5 TC. (a) For each zone, obtain an equation relating the total number of visits from that zone to different levels of a hypothetical fee charged per visit.
Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)