Purchase Solution

# Using utility function to solve for optimal choice

Not what you're looking for?

Suppose that the typical consumer has the following utility function:
U(N, Y) = N×Y,
where Y = income or expenditures on goods, and N = leisure (non-work) hours. The wage rate is given by w = \$10. The consumer is initially taxed at the proportional rate of t1 = .4. The consumer has no unearned income (Y* = 0). The time constraint is given by
24 = N + H,
where H is hours of work.

Solve for the optimal choice. Graph this solution. How many hours of work is the consumer working? What is her income?

Can you show me the steps needed to solve the this problem?

##### Solution Summary

Given a utility function and time constraint, the ideal work/leisure combination is found.

##### Solution Preview

First, we need to know the marginal rate of substitution (MRS) between leisure and income for this consumer. The MRS describes how much income is worth in terms of leisure. It is the slope of the indifference curve.

We obtain the MRS of substitution by differentiating the utility function. If is U =NY then we differentiate with respect to leisure to get MU(N) = Y and differentiate with respect to income ...

##### Economic Issues and Concepts

This quiz provides a review of the basic microeconomic concepts. Students can test their understanding of major economic issues.

##### Basics of Economics

Quiz will help you to review some basics of microeconomics and macroeconomics which are often not understood.

##### Pricing Strategies

Discussion about various pricing techniques of profit-seeking firms.

##### Economics, Basic Concepts, Demand-Supply-Equilibrium

The quiz tests the basic concepts of demand, supply, and equilibrium in a free market.

##### Elementary Microeconomics

This quiz reviews the basic concept of supply and demand analysis.