Brit-Brick is a company that produces bricks and cement in the UK. Their largest consumer is ConstrUK, a UK construction company. The manager of Brit-Brick has asked the research department to find out how sensitive ConstrUK's demand for bricks is. The research department has estimated that ConstrUK's preferences over bricks (x) and cement (y) can be described by the utility function U(x,y) = x³/10 yl-b/10 . where b=8, and where x and y are measured in bags. Example: if b=4, then U(x,y) = x*/10 y-l-4/10 = x2/5 y3/5_ The price for one bag of cement is equal to £1. It is estimated that ConstrUK's budget is £10,000. Find the price-consumption curve for bricks and the corresponding demand curve.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
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Brit-Brick is a company that produces bricks and cement in the UK. Their
largest consumer is ConstrUK, a UK construction company. The manager of
Brit-Brick has asked the research department to find out how sensitive
ConstrUK's demand for bricks is. The research department has estimated that
ConstrUK's preferences over bricks (x) and cement (y) can be described by
the utility function
U(x,y) = x³/10 y1-b/10
where b=8, and where x and y are measured in bags.
Example: if b=4, then U(x,y) = x*/10 yl-4/10 = x2/5 y3/5
The price for one bag of cement is equal to £1. It is estimated that ConstrUK's
budget is £10,000. Find the price-consumption curve for bricks and the
corresponding demand curve.
Transcribed Image Text:Brit-Brick is a company that produces bricks and cement in the UK. Their largest consumer is ConstrUK, a UK construction company. The manager of Brit-Brick has asked the research department to find out how sensitive ConstrUK's demand for bricks is. The research department has estimated that ConstrUK's preferences over bricks (x) and cement (y) can be described by the utility function U(x,y) = x³/10 y1-b/10 where b=8, and where x and y are measured in bags. Example: if b=4, then U(x,y) = x*/10 yl-4/10 = x2/5 y3/5 The price for one bag of cement is equal to £1. It is estimated that ConstrUK's budget is £10,000. Find the price-consumption curve for bricks and the corresponding demand curve.
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