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
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Chapter1: Making Economics Decisions
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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 the following information has been gathered on the enforcement of a speed limit on a
particular highway over a holiday weekend:
No. of
speeders
Probability of
Expenditure on
enforcement apprehension ( p)
Еxpected
fine (pf)
$ 1,000
.1
2$
1,000
10,000
.5
50
500
100,000
.9
100
100
1,000
5
(e) Suppose the goal is to limit the number of speeders to 500. What actual fine, f, and what
probability 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 minimum
expenditure on enforcement that achieves the goal of 500 speeders?
Transcribed Image Text: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 the following information has been gathered on the enforcement of a speed limit on a particular highway over a holiday weekend: No. of speeders Probability of Expenditure on enforcement apprehension ( p) Еxpected fine (pf) $ 1,000 .1 2$ 1,000 10,000 .5 50 500 100,000 .9 100 100 1,000 5 (e) Suppose the goal is to limit the number of speeders to 500. What actual fine, f, and what probability 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 minimum expenditure on enforcement that achieves the goal of 500 speeders?
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