2. Suppose the demand for a commodity depends on the price per unit P according to D = a – bP, but that a tax of t per unit is imposed on the consumers. The constants a and b are positive. The supply function is S = g(P), where g'(P) > 0. %3D a. Express the equilibrium condition in the marker for this commodity. b. The equilibrium equation defines P as a differentiable function of t. Find dP/dt and determine its sign. c. What happens to the price P + t paid by the consumers when t increases?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.1P
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2. Suppose the demand for a commodity depends on the price per unit P according to
D = a – bP, but that a tax of t per unit is imposed on the consumers. The constants a
and b are positive. The supply function is S = g(P), where g'(P) > 0.
a. Express the equilibrium condition in the marker for this commodity.
b. The equilibrium equation defines P as a differentiable function of t. Find dP/dt and
determine its sign.
c. What happens to the price P +t paid by the consumers when t increases?
Transcribed Image Text:2. Suppose the demand for a commodity depends on the price per unit P according to D = a – bP, but that a tax of t per unit is imposed on the consumers. The constants a and b are positive. The supply function is S = g(P), where g'(P) > 0. a. Express the equilibrium condition in the marker for this commodity. b. The equilibrium equation defines P as a differentiable function of t. Find dP/dt and determine its sign. c. What happens to the price P +t paid by the consumers when t increases?
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