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

Monopsony is one buyer of a commodity, Monopsony is single buyer of a commo...

Monopsony is single buyer of a commodity in the market.  The MRP slopes downward in an imperfectly competitive (resource) market serving an not perfectly competitive product mar

Estimate all of the parameters in the saving equation, Consider a family sa...

Consider a family saving function for the population of all families in the United States: sav = β 0 + β 1 inc + β 2 hhsize + β 3 educ + β 4 age + u where hhsize is househol

#theory of consumer., Ask question #what is an indifference curveMinimum 10...

Ask question #what is an indifference curveMinimum 100 words accepted#

Theory of revealed preference, THEORY OF REVEALED PREFERENCE: If consu...

THEORY OF REVEALED PREFERENCE: If consumer's taste and preferences do  not change, then observation of her market behaviour or, actual act of choice between the commodity sets

Define the concept of opportunity cost, 1. Define the concept of opportunit...

1. Define the concept of opportunity cost in your own words. Given an example from your own life of the opportunity cost of a decision (do NOT use classroom examples).  Explain why

Draw a supply or demand diagram of the treasury bond market, 1) A) Suppose ...

1) A) Suppose that several months of data showed the CPI increasing at a 4.5% annual rate due largely to increases in the price of energy and food related commodities following sev

Stoichiometry , Mg(OH)2 + 2HCl-----> MgCl2 +2H2O how many grams of magnesiu...

Mg(OH)2 + 2HCl-----> MgCl2 +2H2O how many grams of magnesium chloride can be produced from 14.60mL of a 0.546M hydrogen chloride solution?

Socio economic conditions, Socio Economic conditions of country also affect...

Socio Economic conditions of country also affect the sales forecasting. They may include total national income per capita income standard of living of the masses, education, inflat

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