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

Neer vs reer, NEER Vs REER: In a situation where there are multiple tr...

NEER Vs REER: In a situation where there are multiple trade partners, the effect of cross-currency movements are judged by nominal effective exchange rate (NEER) and real effe

Warehousing facilities and supply of trade information, Warehousing Facilit...

Warehousing Facilities: These should be expanded in important commercial centres abroad, specially for fast-moving consumer goods. Nowadays, foreign buyers are reluctant to keep

Organic protons and electrons, Organic biochemistry is really as well as bi...

Organic biochemistry is really as well as biochemistry. This is because the as well as atom is the central source of all existing creature's substances. 8 protons and 8 electro

#question.Question: Answer all parts (a, Consider the following insurance m...

Consider the following insurance market. There are two states of the world, B and G, and two types of consumers, H and L, who have probabilities pH =0.5 and pL =0.25 (high and low

Baumol’s sales revenue maximization theory, Profit maximization is theoreti...

Profit maximization is theoretically the most sound but practically unattainable objective of business firms. In the light of this statement critically appraise the Baumol’s sales

Effects on factor prices, Assuming the Heckscher-Ohlin model is true. Suppo...

Assuming the Heckscher-Ohlin model is true. Suppose the Cuba and Russia sign a free trade agreement. Furthermore, assume the Cuba and Russia only produce cigars and vodka. Russia h

Firms and industry, explain the main criteria for classifying firms into in...

explain the main criteria for classifying firms into industries.which criteria serve the better and why?

Revenues, Ask qdescribe average and marginal revenue under imperfect compet...

Ask qdescribe average and marginal revenue under imperfect competitionuestion

Equilibrium of a multi product firm, explain graphically Equilibrium of a ...

explain graphically Equilibrium of a multi product firm

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