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

Determinants of private demand - linkages with employment, Determinants of ...

Determinants of Private Demand - Linkages with Employment Employment potential of courses in higher education is an important determinant of private investment in higher educa

Measures to promote growth - structure of national income, MEASURES TO PROM...

MEASURES TO PROMOTE GROWTH: In view of the recent global experience, the following steps need be taken to accelerate the rate of growth.  1) Mastering and constantly improv

Production function for wheat, Production Function for Wheat *  Farmers...

Production Function for Wheat *  Farmers should choose between a capital intensive or labor intensive technique of production. Isoquant Describing Production of Wheat

Conventions as a basis for forming expectations, Conventions as a Basis for...

Conventions as a Basis for Forming Expectations : Since there is little objective basis for probability distributions about future yields, decision-makers have to act on the ba

Supply, Case 1: The market for drugs Supply, demand, and equilibrium: ...

Case 1: The market for drugs Supply, demand, and equilibrium: The market for drugs. Suppose the market for drugs is a perfectly competitive market. Let the supply curve

Market failures - rationale in era of globalisation, Market failures (eve...

Market failures (even when they do not have international external effects) i) Self-fulfilling bank runs, government debt runs, currency crises. ii) Liquidation costs of li

Time serie, uses of time series in indian economy

uses of time series in indian economy

Help, A monopolist faces the inverse demand for its output: p = 30 – Q The ...

A monopolist faces the inverse demand for its output: p = 30 – Q The monopolist also has a constant marginal and average cost of $4/unit. The government is seeking ways to collect

Discuss shortnote on morality and ethics , Economics and Ethics : Morality ...

Economics and Ethics : Morality and ethics are powerful motivations to behavior.  Thouh, economists suppose that rationality is a function of demonstrable self-interest.  That mean

Human numbers grew as the population after 1800, Human numbers grew as the ...

Human numbers grew as the population after 1800 After 1800, human numbers grew as the population explosion took hold. It carried our entire population to 6 billion in October 1

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