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

Nash equilibrium, Define Nash equilibrium and explain with the help of the ...

Define Nash equilibrium and explain with the help of the game ''prisoner''s dilemma''.

Examples of oligopolies abound, The U.S. automobile industry, the soft-drin...

The U.S. automobile industry, the soft-drink industry, the brewing industry, segments of the fast-food industry, and airplane manufacturers. Oligopoly will usually produce less tha

Perform a one way anova, The Tastee Bakery Company supplies a bakery produc...

The Tastee Bakery Company supplies a bakery product to many supermarkets in a metropolitan area. The company wishes to study the effect of shelf display height employed by the supe

Supply, conditions for an abnormal supply curve

conditions for an abnormal supply curve

Neoclassical economics, In neoclassical economics, equilibrium exists when ...

In neoclassical economics, equilibrium exists when supply equals demand for a particular commodity. General equilibrium is a special (purely hypothetical) condition in which every

AREC 1, Equation (1) gives a hypothetical demand curve for hybrid vehicles ...

Equation (1) gives a hypothetical demand curve for hybrid vehicles in the United States during the year 2000, where Q is the quantity demanded and P is the price. Equation (2) giv

Production, What are the factors that determine the volume of production?

What are the factors that determine the volume of production?

Division of labour, Division of labour: Division of labour involves divi...

Division of labour: Division of labour involves dividing a production process into a number of smaller tasks for each task to be undertaken by a different worker. It may also be

Case study on exceptions to the law of demand., can i get a case study on s...

can i get a case study on share market or any other company about their exceptions to the law of demand?

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