Mathematical presentation of utility maximisation, Microeconomics

Assignment Help:

Mathematical Presentation of Utility maximisation:

Consumer's objective is to maximise her utility by solving UMP. To solve UMP, we set the Lagrange function of the corresponding problem, which is,    L(x1, x2) = U(x1, x2) + λ (M-p1x1-p2x2) Our objective is to maximise this Lagrange function by choosing x1, x2 and λ. For that we differentiate the Lagrange function by x1, x2 and  λ, and set all equal to zero.  

 

547_Mathematical Presentation.png

is the slope of the indifference curve and  p1/p2 is the slope of the budget line. So, at equilibrium we have a slope of the indifference curve that is equal to the slope of the budget line. Again, from equation (f3) we get M = p1x1+p2x2, so budget equation holds with equality sign.   


Related Discussions:- Mathematical presentation of utility maximisation

\, Select the production possibilities curve for an economy with 42 units o...

Select the production possibilities curve for an economy with 42 units of labor

Returns from education, Returns from Education Monetary benefits from ...

Returns from Education Monetary benefits from education are called as returns. Such benefits accruing to an individual are called as private returns. The sum of all private re

Concept of efficiency, The Concept of Efficiency is stated below: To il...

The Concept of Efficiency is stated below: To illustrate this concept of the efficiency, it is used to expand the understanding of what is meant by the Pareto-efficient allocat

Employment and unemployment policy, EMPLOYMENT AND UNEMPLOYMENT POLICY: ...

EMPLOYMENT AND UNEMPLOYMENT POLICY: Engagement of a person in any economic activity is central to the concept of identifying a worker. A worker is one who participates in any

#title.elasticity of demand., different btn elesticity of demand and inelas...

different btn elesticity of demand and inelasticity of demand

Surplus, Surplus The surplus is a condition under that supply for a goo...

Surplus The surplus is a condition under that supply for a good or service is in excess of the demand for that good or service. When this happens, there is commonly a reduction

Interest rate dertemination, to what extent are interest rates determined b...

to what extent are interest rates determined by the economic theory

Willingness to pay, Suppose one were asked to recommend a price for the out...

Suppose one were asked to recommend a price for the output of a proposed downtown parking garage, so that the project would have as large a Net Present Value as possible.  In this

#title., comprehensively discuss the market structure in the South African ...

comprehensively discuss the market structure in the South African mobile telecommunication industry

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd