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

What is corporation, Q. What is Corporation? A corporation is a form of...

Q. What is Corporation? A corporation is a form of business established as an independent legal entity, separate from individuals who own it. A main benefit, for owners, of thi

Atoms and molecules, who proposed the law of chemical combinations?

who proposed the law of chemical combinations?

Iso-quant - long period analysis, Iso-quant: The dots in the above Fi...

Iso-quant: The dots in the above Figure denotes the various combinations of (L, K) that the producer can pick up from form to produce. Among these combinations, there can be t

Draw and label demand curve for a cup of coffee for consumer, Suppose the d...

Suppose the demand curve for a consumer for coffee is: Q = 6 - 2P, where Q represents the number of cups per day and P is the price of coffee per cup.  1.  Suppose the con

Indifference curve, What is indifference curve and its properties?

What is indifference curve and its properties?

Perform a threshold analysis, You are a member of a problem solving group t...

You are a member of a problem solving group that is concerned with incidents involving losses with their information system (IS). Let us assume that IS loss events can be grouped i

Efficiency of a competitive market, The Efficiency of a Competitive Market ...

The Efficiency of a Competitive Market *? When an competitive markets generate an inefficient allocation of the resources or market failure?   1) Externalities Costs

Returns from education, Returns from Education Monetary benefits from ...

Returns from Education Monetary benefits from education are called as returns. Such benefits accruing to an individual are called as private returns. The sum of all private re

Determine the profit function and profit maximizing value, Yuen, a travelli...

Yuen, a travelling salesman for snake oil, can produce the stuff at a marginal cost of 1. There are 100 potential customers in Vernon, each of whom has the following demand functio

Find the marginal products of capital and labour, A farmer produces maize a...

A farmer produces maize according to the following production function Q m = AK 1/3 L 2/3 Where Q m is output of maize, A = land, K = capital and L = labour Given that

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