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

Time serie, uses of time series in indian economy

uses of time series in indian economy

Demand function is homogeneous of degree zero, Demand Function is Homogeneo...

Demand Function is Homogeneous of Degree Zero: Mathematical Presentation  we will show that demand function is homogeneous of degree zero in prices and money income. In o

Fiscal imbalance, Fiscal Imbalance: The persistent rise in resource ga...

Fiscal Imbalance: The persistent rise in resource gap has led to a growing volume of public debt. The central feature that emerges is a serious fiscal imbalance, arising from

Supply and demand, During the 1990s, technological advance reduced the cost...

During the 1990s, technological advance reduced the cost of computer chips. Explain, with the use of supply and demand diagrams, how the following markets are affected in terms of

Demand curve, how does the charging the monoply a specific tax per unit aff...

how does the charging the monoply a specific tax per unit affect the monopoly optmum and 5the welfare of consumer

Internal and external economies of scale, Internal and external economies o...

Internal and external economies of scale: Internal economies of scale are the advantages or benefits that the firm enjoys as it expands its size or increases its scale of ope

Production for profit, Under capitalism, most production is undertaken by p...

Under capitalism, most production is undertaken by private companies (of various forms), with the goal of generating a profit to the company's owners. Profit is obtained when compa

Cost function for savings and loan industry, Cost Function for Savings and ...

Cost Function for Savings and Loan Industry * The empirical estimation of long run cost function can be useful in restructuring of the savings and loan industry in wake of savi

Model of corruption with theft, Consider the model of corruption explored b...

Consider the model of corruption explored by Shleifer and Vishni's where there is one government-produced good X. There is a demand for that good described by the inverse demand eq

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