Suppose there are 2,000 potential consumers in the Chestnut Hill market for tablet computers. All consumers have identical preferences over tablets (T) and expenditures on other consumption goods (X), represented by the following utility function: U(T, X) = 500T(1 – T) + a) Find the total market demand for T (call it TM) as a function of the price of a tablet (pT ). b) Write down the equation for the market demand curve (with TM on the horizontal axis and pT on the vertical axis).

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.1P
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2.2
Suppose there are 2,000 potential consumers in
the Chestnut Hill market for tablet computers. All
consumers have identical preferences over
tablets (T) and expenditures on other
consumption goods (X), represented by the
following utility function: U(T, X) = 500T(1 – T) +
a) Find the total market demand for T (call it TM)
as a function of the price of a tablet (pT ).
b) Write down the equation for the market
demand curve (with TM on the horizontal axis
and pT on the vertical axis).
Transcribed Image Text:2.2 Suppose there are 2,000 potential consumers in the Chestnut Hill market for tablet computers. All consumers have identical preferences over tablets (T) and expenditures on other consumption goods (X), represented by the following utility function: U(T, X) = 500T(1 – T) + a) Find the total market demand for T (call it TM) as a function of the price of a tablet (pT ). b) Write down the equation for the market demand curve (with TM on the horizontal axis and pT on the vertical axis).
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