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

Find the equilibrium price and quantity, 1. Assume that the market for whea...

1. Assume that the market for wheat is perfectly competitive. Suppose the demand curve for wheat is given by: QD = 200 – 2P where QD is the quantity demanded, in bushels, and P i

What is capital requirements directive, In relation to banking, Basel II, t...

In relation to banking, Basel II, the Capital Requirements Directive (CRD) was implemented in January 2008. The CRD requires stricter capital treatment of a bank's risk transfer op

Explain the different types of barriers that exist to trade, Problem 1: ...

Problem 1: i) To what extent can a country actually rely on the principle of Comparative advantage before engaging in international trade? ii) Explain the different types

Contribution of capital accumulation, Question:  Explain the contribution ...

Question:  Explain the contribution of capital accumulation in the progress of an economy? Capital makes the technological progress of the economy possible. Different technol

Mr and ar, A monopolist''s demand curve is P=100-2q. find his MR function. ...

A monopolist''s demand curve is P=100-2q. find his MR function. at what price is MR zero

Equilibrium level of economic output, Provide an economic explanation of wh...

Provide an economic explanation of what you have shown in your diagram above.  Iceland was a small open economy with perfect capital mobility. Consequently, the equilibrium domesti

Cost, relationship between tfc , tvc , tc

relationship between tfc , tvc , tc

Production Possibility Curve, Explain in detail the concept of PPC with sui...

Explain in detail the concept of PPC with suitable eg.

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