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From the data in Table 5.5 about demand for smart phones, calculate the price elasticity of demand from: point B to point C, point D to point E, and point G to point H. Classify the elasticity at each point as elastic, inelastic, or unit elastic.

PointsPQ
A603,000
B702,800
C802,600
D902,400
E1002,200
F1102,000
G1201,800
H1301,600

Table 5.5

Short Answer

Expert verified

From B to C it is inelastic.

From D to E it is inelastic.

From G to H it is elastic.

Step by step solution

01

Concept

Price elasticity of demand will be elastic when the result is more than 1 and it will be inelastic when the result is less than 1.

The formula for evaluating price elasticity of demand is:

Priceelasticityofdemand=%changeinquantity%changeinprice

02

Calculation for point B to C

Given

The quantity of B is 2,800 and C is 2,600

The price of B is 70 and C is 80

%changeinquantity=2,600-2,8002,800×100=-7.14%changeinprice=80-7070×100=14.2

Calculation of price elasticity of demand:

Priceelasticityofdemand=%changeinquantity%changeinprice=-7.1414.2=-0.50

As the price elasticity of demand is -0.50 (less than 1) it is inelastic.

03

Calculation of point D to E

Given

The quantity of D is 2,400 and E is 2,200

The price of D is 90 and E is 100

%changeinquantity=2,200-2,4002,400×100=-8.33%changeinprice=100-9090×100=11.11

Calculation of price elasticity of demand:

Priceelasticityofdemand=%changeinquantity%changeinprice=-8.3311.11=-0.74

As the price elasticity of demand is -0.74 (less than 1) it is inelastic.

04

Calculation of point G to H

Given

The quantity of G is 1,800 and H is 1,600

The price of G is 120 and H is 130

%changeinquantity=1,600-1,8001,800×100=-11.11%changeinprice=130-120120×100=8.33

Calculation of price elasticity of demand:

Priceelasticityofdemand=%changeinquantity%changeinprice=-11.118.33=-1.33

As the price elasticity of demand is -1.33 (greater than 1) it is elastic.

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Most popular questions from this chapter

Would you expect supply to play a more significant

role in determining the price of a basic necessity like

food or a luxury like perfume? Explain. Hint: Think

about how the price elasticity of demand will differ

between necessities and luxuries.

Assume that the supply of low-skilled workers is fairly elastic, but the employers’ demand for such workers is fairly inelastic. If the policy goal is to expand employment for low-skilled workers, is it better to focus on policy tools to shift the supply of unskilled labor or on tools to shift the demand for unskilled labor? What if the policy goal is to raise wages for this group? Explain your answers with supply and demand diagrams

Describe the general appearance of a demand or a supply curve with infinite elasticity.

A city has built a bridge over a river and it decides

to charge a toll to everyone who crosses. For one year,

the city charges a variety of different tolls and records

information on how many drivers cross the bridge. The

city thus gathers information about elasticity of demand.

If the city wishes to raise as much revenue as possible

from the tolls, where will the city decide to charge a toll:

in the inelastic portion of the demand curve, the elastic

portion of the demand curve, or the unit elastic portion?

Explain.

The federal government decides to require that automobile manufacturers install new anti-pollution equipment that costs $2,000per car. Under what conditions can carmakers pass almost all of this cost along to car buyers? Under what conditions can carmakers pass very little of this cost along to car buyers?

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