b) Suppose that a consumer is choosing between Pears (A) and Oranges (B). Their utility function is described by U=A²B2. Suppose that pears cost £4 a piece and oranges cost £2 a piece. The consumer has £120 available to spend.
b) Suppose that a consumer is choosing between Pears (A) and Oranges (B). Their utility function is described by U=A²B2. Suppose that pears cost £4 a piece and oranges cost £2 a piece. The consumer has £120 available to spend.
Chapter1: Making Economics Decisions
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![b) Suppose that a consumer is choosing between Pears
(A) and Oranges (B).
Their utility function is described by U=A2B/².
Suppose that pears cost £4 a piece and oranges cost £2 a
piece. The consumer has £120 available to spend.
Given this income constraint, what quantity of pears and
oranges should the consumer buy to maximise their
utility? [Hint: set up a Lagrangian]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc40ff26c-acdf-4c64-9b1c-9da4f6acfc66%2Fab9f3267-dfc7-4032-8a9c-cc24b67d9f63%2Fiwig3av_processed.jpeg&w=3840&q=75)
Transcribed Image Text:b) Suppose that a consumer is choosing between Pears
(A) and Oranges (B).
Their utility function is described by U=A2B/².
Suppose that pears cost £4 a piece and oranges cost £2 a
piece. The consumer has £120 available to spend.
Given this income constraint, what quantity of pears and
oranges should the consumer buy to maximise their
utility? [Hint: set up a Lagrangian]
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