High School

Calculate the percentage of the tax borne by the demander and supplier in each of the following cases:

a. [tex]E_d = 0.3[/tex], [tex]E_s = 1.2[/tex]
b. [tex]E_d = 3[/tex], [tex]E_s = 2[/tex]
c. [tex]E_d = 0.5[/tex], [tex]E_s = 1[/tex]
d. [tex]E_d = 0.5[/tex], [tex]E_s = 0.5[/tex]

e. Summarize your findings regarding relative elasticity and tax burden.

Answer :

a. The percentage incurred by the demander is 80%; the percentage borne by the supplier is 20%. The tax incidence is different for different situations.

Consumer tax incidence = 100 × (Es / (Ed + Es))

Producer tax incidence = 100 × (Ed / (Ed + Es))

a. Ed = 0.3

Es = 1.2

Tax borne by demander = 100 × (1.2 / (0.3 + 1.2))

= 100 × 1.2/1.5

= 80%

Tax borne by supplier = 100 × (0.3 / (0.3 + 1.2))

= 100 × 0.3/1.5

= 20%

b) Ed = 3

Es = 2

Tax borne by demander = 100 × (2 / (3 + 2))

= 100 × 2/5

= 40%

Tax borne by supplier = 100 × (3 / (3 + 2))

= 100 × 3/5

= 60%

c) Ed = 0.5

Es = 1

Tax borne by demander = 100 × (1 / (0.5+01))

= 100 × 1/1.5

= 67%

Tax borne by supplier = 100 × (0.5 / (0.5 + 1))

= 100 × 0.5/1

= 33%

d) Ed = 0.5

Es = 0.5

Tax borne by demander = 100 × (0.5 / (0.5 + 0.5))

= 100 × 0.5/1

= 50%

Tax borne by supplier = 100 × (0.5 / (0.5 + 0.5))

= 100 × 0.5/1

= 50%

e) Consumers with more elastic demand curves pay a lower percentage of the tax. The same can be said for producers.

To know more about tax incidence:

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