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

Atmospheric Pollution, Earth is completely surrounded by thick envelope of ...

Earth is completely surrounded by thick envelope of gases called atmosphere. Atmosphere is sub divided into different layers depending upon the distance from the sea level. The

Economic rent, Economic Rent - Economic rent is difference between what...

Economic Rent - Economic rent is difference between what firms are willing to pay for the input less the minimum amount required to obtain it. * An Example - There are tw

Business cycle, measures to control business cycle

measures to control business cycle

Define microeconomics concerned with its goal, a) Microeconomics is concern...

a) Microeconomics is concerned with decision-making within the firm, household or on the individual level, but macroeconomics is concerned with the behavior of the whole economic s

Supply and demand, 1. State of the art machines at the advanced Yamaha musi...

1. State of the art machines at the advanced Yamaha musical instrument plant tune the exact sound of high caliber musical instruments (vs a certain touch, and perhaps a degree of v

What do you meant by the term economic efficiency, Problem: i) What do ...

Problem: i) What do you meant by the term ‘economic efficiency'? ii) By using appropriate examples differentiate between fixed and variable costs. iii) Consider different

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