Assume an individual's utility function is given by the following expression, where a and b are constants: U(9₁,92) = a q1 + b.q2 Assume the individual has $12 (y = 12) to spend on a bundle of q₁ and q2 and assume the price of good #1 is $4 (p₁ = 4). If the price of good #2 is greater than $2 (p₂ > 2), then this individual will maximize their utility by consuming 3 units of good #1 (9₁ = 3). However, if the price of good #2 is less than $2 (p₂ < 2), this individual will maximize their utility by consuming zero units of good #1 (91 = 0). Given this information, what is the value of the fraction ()?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 24SQ
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Assume an individual's utility function is given by the following expression, where a and b are constants:
U(91,92) = a q₁ + b .q2
Assume the individual has $12 (y = 12) to spend on a bundle of q₁ and q2 and assume the price of good #1 is $4 (p₁ = 4). If
the price of good #2 is greater than $2 (p₂ > 2), then this individual will maximize their utility by consuming 3 units of good
#1 (9₁3). However, if the price of good #2 is less than $2 (p₂ < 2), this individual will maximize their utility by consuming
zero units of good #1 (91 = 0).
Given this information, what is the value of the fraction ()?
<4000 >
5
8
Transcribed Image Text:Assume an individual's utility function is given by the following expression, where a and b are constants: U(91,92) = a q₁ + b .q2 Assume the individual has $12 (y = 12) to spend on a bundle of q₁ and q2 and assume the price of good #1 is $4 (p₁ = 4). If the price of good #2 is greater than $2 (p₂ > 2), then this individual will maximize their utility by consuming 3 units of good #1 (9₁3). However, if the price of good #2 is less than $2 (p₂ < 2), this individual will maximize their utility by consuming zero units of good #1 (91 = 0). Given this information, what is the value of the fraction ()? <4000 > 5 8
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