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Dudley's Utility Function for Goods and Leisure Is U(G, L)=

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Dudley's utility function for goods and leisure is U(G, L)= G - (20 - L)(20 - L), where G is consumption of goods and L is the number of hours of leisure per day.Goods cost $1 per unit.
a.If Dudley had an income from nonlabor sources of $25 per day and could work as much as he chose to but would get zero wages, how much would he work?
b.Sketch Dudley's indifference curves on a graph with leisure on the horizontal axis and income on the vertical axis.If Dudley's nonlabor income were $25 a day and he could work as much as he wished for $10 an hour, how many hours a day would he choose to work?


Definitions:

Fair Return Price

A pricing concept where the price of a good or service is set to allow the provider to cover costs and earn a reasonable profit, often associated with regulated industries.

Socially Optimal Price

The pricing point where the societal benefits of consuming a good or service equal the societal costs of providing it, leading to an efficient allocation of resources.

Deadweight Loss

A loss of economic efficiency that occurs when the equilibrium for a good or a service is not achieved or is unattainable.

Graphically Depict

To represent data or information visually using charts, graphs, or other pictorial forms.

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