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

Explain the concept of budget multiplier, Problem 1: a. Use the circula...

Problem 1: a. Use the circular flow model to explain the concepts of injections and withdrawals. b. Explain the concept of budget multiplier. c. Using the concept of mult

Functions of the central bank, Functions of the Central Bank: Currency...

Functions of the Central Bank: Currency issue and distribution: The Central Bank is the only institution empowered by law to issue currency notes and coins that are used as a

Indifference curve and budget line, how the increase in price will affect c...

how the increase in price will affect consumer''s ability to maximise satisfaction?

Sales revenue maximization model , What are the major differences between t...

What are the major differences between the equilibrium of profit maximiser and sales revenue maximiser?

What are expansionary and contractionary effects, What are expansionary and...

What are expansionary and contractionary effects?  Expansionary effect refers to the effect of raising the equilibrium level of national income. For example, an increase in gov

Determinants of short run cost, Determinants of Short Run Cost - The re...

Determinants of Short Run Cost - The relationship among the production function and cost can be exemplified by either increasing returns and cost or decreasing returns and cost

Foreign investment, Foreign investment: To attract foreign investment ...

Foreign investment: To attract foreign investment – Developing Plans are used as a means of attracting foreign investment or foreign aid.Foreign government and international o

Expected value, Expected Value - The weighted average of payoffs or val...

Expected Value - The weighted average of payoffs or values resulting from all the possible outcomes. The probabilities of every outcome are used as weights Expected

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