In a competitive market the equilibrium price, P, and quantity, Q, are found by setting QS = QD = Q in the supply and demand equations: P=aQS +b(a>0,b>0) P=−cQD +d(c>0,d>0) A) If the government levies an excise tax, t, per unit, show that: Q=d-b-t/a+c B)Deduce that the government’s tax revenue, T = tQ, is maximised by taking t=d-b/2
In a competitive market the equilibrium price, P, and quantity, Q, are found by setting QS = QD = Q in the supply and demand equations: P=aQS +b(a>0,b>0) P=−cQD +d(c>0,d>0) A) If the government levies an excise tax, t, per unit, show that: Q=d-b-t/a+c B)Deduce that the government’s tax revenue, T = tQ, is maximised by taking t=d-b/2
Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter5: Elasticity Of Demand And Supply
Section5.A: Appendix: Price Elasticity And Tax Incidence
Problem 2AQ
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In a competitive
P=aQS +b(a>0,b>0)
P=−cQD +d(c>0,d>0)
A) If the government levies an excise tax, t, per unit, show that:
Q=d-b-t/a+c
B)Deduce that the government’s tax revenue, T = tQ, is maximised by taking
t=d-b/2
![9. In a competitive market the equilibrium price, P, and quantity, Q, are found by setting
Os = Qp = Q in the supply and demand equations
P = aQs + b (a>0, b > 0)
P = -cQp + d (c > 0, d > 0)
If the government levies an excise tax, t, per unit, show that
d – b – t
a + c
Deduce that the government's tax revenue, T = tQ, is maximised by taking
d - b
t =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fede84d0a-7492-4d8c-aee1-553d23268c48%2F264353ef-e601-441f-961a-3cbd39b8fb1f%2F2iu33a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. In a competitive market the equilibrium price, P, and quantity, Q, are found by setting
Os = Qp = Q in the supply and demand equations
P = aQs + b (a>0, b > 0)
P = -cQp + d (c > 0, d > 0)
If the government levies an excise tax, t, per unit, show that
d – b – t
a + c
Deduce that the government's tax revenue, T = tQ, is maximised by taking
d - b
t =
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