A case study in this chapter discusses the federal minimum wage law a Suppose the minimum wage is
Summary
TLDRThe script discusses the impact of minimum wage on employment and unemployment. Initially, without a minimum wage, the market wage is W1 with Q1 workers employed. Introducing a minimum wage WM above W1 results in fewer workers employed (Q2) and higher unemployment (Q3-Q2). The script then explores the effect of increasing the minimum wage to WM', leading to further employment reduction (Q2') and unemployment increase (Q3'-Q2'). The size of unemployment's rise depends on the elasticities of labor demand and supply. The total wage payment may increase or decrease depending on the relative changes in wage and employment, illustrated through scenarios of elastic and inelastic demand.
Takeaways
- 💼 Minimum wage is set above the market wage (W1), resulting in a new market wage (WM) and a reduced number of employed workers (Q2).
- 👷♂️ Unemployment arises due to the minimum wage, represented by the difference between the number of workers willing to work at the minimum wage (Q3) and those actually employed (Q2).
- 📊 Wage payments to workers are calculated as the area of rectangle ABCD, which equals WM times Q2.
- 📈 An increase in the minimum wage (WM Prime) leads to a further decrease in employment (Q2 Prime) and an increase in unemployment (Q3 Prime minus Q2 Prime).
- 🔍 The effect of a higher minimum wage on employment is determined by the elasticity of demand for labor, with the elasticity of supply being less relevant.
- 📉 Employment decreases with an increase in the minimum wage due to the reduced quantity of labor demanded.
- 📈 Unemployment increases as the difference between the quantity of labor supplied and demanded widens.
- 🔗 The rise in unemployment depends on both the elasticities of supply and demand, with demand elasticity affecting labor demand and supply elasticity affecting labor offered.
- 📊 In the case of inelastic demand, the percentage decline in employment is less than the percentage increase in the wage, leading to an increase in total wage payments.
- 📊 With elastic demand, the percentage decline in employment is greater than the percentage increase in the wage, resulting in a decrease in total wage payments.
Q & A
What happens to the market wage and employment levels without a minimum wage?
-Without a minimum wage, the market wage would be W1, and q1 workers would be employed.
How does the imposition of a minimum wage above the market wage affect employment?
-When a minimum wage (WM) is imposed above the market wage (W1), the number of employed workers drops to Q2, leading to unemployment as more workers are willing to work at the new minimum wage but can't find jobs.
How is unemployment calculated in this context?
-Unemployment is the difference between Q3 (the number of workers willing to work at the minimum wage) and Q2 (the number of employed workers), meaning the unemployed workers are those between Q3 and Q2.
How are wage payments to workers represented on the graph?
-Wage payments to workers are shown as the area of the rectangle A-B-C-D, and this area equals WM (minimum wage) multiplied by Q2 (the number of workers employed).
What is the effect of an increase in the minimum wage on employment?
-When the minimum wage increases to WM Prime, the number of employed workers decreases to Q2 Prime, while the number of workers willing to work increases to Q3 Prime, leading to a larger gap between Q3 Prime and Q2 Prime, resulting in higher unemployment.
How does the elasticity of demand impact the size of unemployment after a wage increase?
-The elasticity of demand determines how much the quantity of labor demanded decreases when the minimum wage rises. The higher the elasticity, the more employment decreases, leading to greater unemployment.
Why does the elasticity of supply not affect unemployment in this scenario?
-The elasticity of supply does not matter because there is already a surplus of labor, meaning more workers are willing to work than there are jobs available.
What is the relationship between wage increase and unemployment for inelastic demand?
-With inelastic demand, the percentage decline in employment is smaller than the percentage increase in wages. As a result, total wage payments to workers increase.
How does elastic demand affect total wage payments after a minimum wage increase?
-In the case of elastic demand, the decline in employment is larger than the wage increase, leading to a decrease in total wage payments despite the rise in wages.
How can wage payments be compared before and after the wage increase?
-Wage payments can be compared by examining the change in the areas on the graph. The initial wage payment is represented by one area, while the new wage payment after the increase is represented by a larger or smaller area, depending on the elasticity of demand.
Outlines
📉 The Impact of Minimum Wage on Employment and Unemployment
This paragraph explains the effect of a minimum wage on employment and unemployment in a labor market. Without the minimum wage, the market wage is W1, and employment is Q1. When a minimum wage (WM) higher than W1 is imposed, the wage rises to WM, but fewer workers (Q2) are employed. Many workers (Q3) want to work at WM, but cannot find jobs, leading to unemployment (Q3 - Q2). The wage payments are represented by a rectangle of area A-B-C-D, which equals WM times Q2. An increase in the minimum wage worsens unemployment, and the change in employment depends only on the elasticity of demand for labor. In summary, Part A discusses the wage payments, and Parts B and C address the effect of increasing the minimum wage on employment and unemployment, emphasizing that both elasticities (supply and demand) determine the size of the impact on unemployment.
📊 Comparing Wage Payments Under Different Wage Levels
This paragraph elaborates on how minimum wage changes impact total wage payments. It introduces two scenarios with different demand elasticities (inelastic and elastic) to illustrate the effect of wage increases on employment and total wage payments. In the case of inelastic demand, employment decreases less than the percentage increase in wages, leading to an increase in total wage payments. This is represented by the expansion in the vertical dimension (wage) being greater than the contraction in the horizontal dimension (employment). In contrast, with elastic demand, the reduction in labor employed exceeds the wage increase, leading to a decline in total wage payments. This paragraph compares the areas representing wage payments before and after the wage change, with the conclusion that wage increases lead to different outcomes depending on demand elasticity.
Mindmap
Keywords
💡Minimum Wage
💡Market Wage
💡Employment (Q2)
💡Unemployment
💡Elasticity of Demand
💡Elasticity of Supply
💡Total Wage Payment
💡Inelastic Demand
💡Elastic Demand
💡Labor Surplus
Highlights
The market wage without minimum wage would be W1 with Q1 workers employed.
With minimum wage WM imposed above W1, the market wage becomes WM and employment decreases to Q2.
Unemployment arises as the difference between workers willing to work at WM (Q3) and those employed (Q2).
Wage payments to workers are represented by the area of rectangle ABCD, equal to WM times Q2.
An increase in the minimum wage to WM Prime leads to further employment reduction to Q2 Prime.
The new level of unemployment is greater than the initial level, with Q3 Prime minus Q2 Prime.
The effect of a higher minimum wage on employment depends solely on the elasticity of demand.
Employment decreases when the minimum wage is increased.
Unemployment increases when the minimum wage is increased.
The rise in unemployment depends on both the elasticities of supply and demand.
The elasticity of demand determines the change in the quantity of labor demanded.
The elasticity of supply determines the change in the quantity of labor supplied.
The difference between labor supply and demand is the amount of unemployment.
Inelastic demand results in a smaller percentage decline in employment compared to the percentage increase in wage.
Total wage payments increase with inelastic demand due to the greater increase in wage compared to the decrease in employment.
Elastic demand leads to a greater percentage decline in employment than the percentage increase in wage.
Total wage payments decrease with elastic demand due to the larger decrease in employment compared to the increase in wage.
Transcripts
this figure shows the effect of the
minimum wage
in the absence of the minimum wage the
market wage would be W1 and q1 workers
would be employed
with the minimum wage WM imposed above
W1 the market wage is WM and the number
of employee workers is Q2
u3 is
the number of workers that are willing
to be employed at this minimum wage but
they can't
therefore we have unemployment
which is the difference between Q3 and
Q2
how to wage payments to workers
are shown as the area of rectangle a b c
d
so this is a
B
C and D
and this area equals WM
times
Q2
that is part A of the question
for Part B
B and C actually
assume there is an increase in the
minimum wage
we can draw another line
let's say WM Prime is the new minimum
wage
now the number of workers
would be employed
rq2 Prime
and the number of workers
that are willing to work
is Q3 Prime
you can see that the difference between
these two quantities increased
so the new level of unemployment is
Q3 Prime minus Q2 Prime
that is greater than the initial
unemployment
when we first impose the minimum wage
the size of the effect of
a higher minimum wage
on employment depends only on the
elasticity of demand
the elasticity of supply does not matter
because there is a surplus of Labor
foreign
for Part B
employment decreased
for part C unemployment
increase
the size of the rise in unemployment
depends on both the elasticities of
supply and demand
the elasticity of demand determines the
change in the quantity of Labor demanded
and the elasticity of supply
determines the change in the quantity of
Labor supplied
the difference between the quantities
Supply and demanded of Labor is the
amount of unemployed
for party
we can illustrate this part with a case
of elastic demand and a case of
inelastic demand
inelastic demand curve has a greater
slope or it is deeper than a an elastic
demand
and here I will show the increase from
a
initial equilibrium which to a minimum
wage
I should show two minimum wage levels
but it will
make the graphs Crowder so it wouldn't
be harder to see
the ideas behind is the same
so with inelastic demand the percentage
decline in employment
is
this distance
okay this is a decline in unemployment
for inelastic demand this decline would
be lower than the percentage increase in
the wage
and the percentage increase in the wage
can be represented by this vertical
distance
so total wage payment increase
we are comparing initial wage payment
which is this area
to this new Total wage payment this area
so initial
wage payment
is uh a
Q
o
and after
wage payment
we have a prime comes from here
e Prime
Q Prime
no
right so that are the two errors we are
comparing
we only need to look at the change in
their
um the relative change in the dimensions
the width and the height
so
yeah we have the increase in height is
greater than the expansion in the width
so the new area would be
greater than the outer area
meaning wage payment increase
we can show the same thing
um
with the case of elastic demand
we are comparing this area
this is the after wish payment area
and this is the initial wage payment
now we see that
the change in
labor employed
is greater than the change
in
which
so wage increase by a little than the
decrease in labor employed
that means total wage payment would
decrease
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