1 answer

An individual has preferences over housing, x (measured in square metres), and other goods, y, represented...

Question:

An individual has preferences over housing, x (measured in square metres), and other goods, y, represented by utility function u(x,y) = x4y. Her disposable income is $75000, and the price of housing is $1000/m2, while that of other goods is py = $1.

a) [5 marks] Find this consumer’s optimal bundle and utility level, given initial prices and income.


Answers

Px=$1000/m? Budget Coushraint: M = 1000a+ The consuumer mariuize y subjeet to M=1000X aue lagrangian functionis hzy Lagrangiz

37500! umte 75000 2. the ginen initial pouices optinial bundle aind utilitg lenel aie : and ingome, the consumens 37.5 m 3750

.

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