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

Role of managerial economist, Explain the role of managerial ecnomist in ki...

Explain the role of managerial ecnomist in kissan &dipsy fro ub group

Macroeconomics, The Wealth of Nations of Modern Economies When the federal ...

The Wealth of Nations of Modern Economies When the federal government uses expenditures to stimulate the economy, it changes not only the present but the future as well. Question

Supply analysis, what is the explanation about supply analysis?How to under...

what is the explanation about supply analysis?How to understand?

Theory, critical of comparative advantage theory

critical of comparative advantage theory

TOTAL REVENUE AVERAGE REVENUE AND MARGINAL REVENUE, CASE STUDY IN RELATION ...

CASE STUDY IN RELATION WITH TOTAL REVENUE,AVERAGE REVENUE AND MARGINAL REVENUE

Marginal revenue productivity theory, Problem 1: i) Distinguish betwee...

Problem 1: i) Distinguish between the different types of concentration measures. ii) Derive and explain the Dorfman and Steiner (1954) condition for optimal advertising.

Mba, Is Indian companies running a risk by not giving attention to cost cut...

Is Indian companies running a risk by not giving attention to cost cutting

Rational producer, would a rational producer be concerned with the average ...

would a rational producer be concerned with the average or marginal product of an input in deciding whether or not to hire the inputs?

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