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

Base case NPV analysis , How base case NPV analysis is applied in financial...

How base case NPV analysis is applied in financial risk management

Solow-swan model, Consider an economy, in which technological capabilities ...

Consider an economy, in which technological capabilities become obsolete. Use the Solow-Swan model and the knowledge spillover model to explain how its productivity growth rate dep

Determinant of price elasticity of supply, Assume there is a remote area in...

Assume there is a remote area in china with high population.The area is composed exclusively of apartments and is populated by low-income residents .The people tend to stay in that

Market supply of labour, Use a graphical illustration to describe briefly w...

Use a graphical illustration to describe briefly what the influence of each of the following would be on the market supply of labor:(a) an increase in immigration (b) more women en

OLIGOPLOLY MODELS, GIVE EXAMPLES OF EACH OLIGOPOLY MODELS FROM REAL LIFE

GIVE EXAMPLES OF EACH OLIGOPOLY MODELS FROM REAL LIFE

Economic models, the general characterictics of economic models,its limitat...

the general characterictics of economic models,its limitations and verification

Decay toothbruch, What is the arc cross elasticity of demand between Stop d...

What is the arc cross elasticity of demand between Stop decay''s toothbrush and Decay fighter''s toothbrush? What does this indicate about the relationship between the two products

Inflation in Pakistan, I want to address Inflation in Pakistan but it itsel...

I want to address Inflation in Pakistan but it itself is a wide topic plz suggest me how to address Inflation to right a research article?????

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