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

Compute marginal cost and average total cost, Crumble Corporation produces ...

Crumble Corporation produces cookies. Here is the relationship between the number of workers and output (in dozens of cookies) in a given day: Workers Output Marginal Product T

What are the properties of indirect utility function, What are the properti...

What are the properties of indirect utility function? Properties of the indirect utility function: While u(x) is continuous and monotonic onto R L + and (p, m) > 0, the in

Unemployment, Unemployment: Unemployment refers to a situation where p...

Unemployment: Unemployment refers to a situation where people who are willing and able to work do not find jobs at the existing wage rate.For a person to be referred to as une

Specialization and trade, • If Mary uses all her resources to produce hats,...

• If Mary uses all her resources to produce hats, she can produce 48 hats an hour. • If she uses all her resources to produce apple pies, she can make 24 apple pies an hour. how

Consumer theory, what are the similarities and differences of marginal prod...

what are the similarities and differences of marginal productivity and marginal utility

Compute marginal cost and average cost, Fill in the column of marginal prod...

Fill in the column of marginal products. What pattern do you see? How might you explain it? b. A worker costs $30 per day and the ''Firm has fixed costs of $10. Use this informat

Impacts on the mauritian economy, Problem: (a) Define money and briefl...

Problem: (a) Define money and briefly explain its core functions. (b) Explain the relationship between interest rate and price of bonds, illustrate using example. (c)

What is deflation, What is Deflation?  Deflation in economics refers to...

What is Deflation?  Deflation in economics refers to reduce in the general price level, i.e. the nominal cost of goods and services as well as wages reduce. As, it is an opposi

Economic theory, Much of undergraduate macroeconomic theory is discussed on...

Much of undergraduate macroeconomic theory is discussed on the assumption that, in the short run, the expectations of economic agents about the future values of macroeconomic varia

How to calculate the cpi index, When measuring price levels in the economy ...

When measuring price levels in the economy (such as when calculating the CPI index), why is a weighted average used? Because we require giving greater emphasis to prices at whi

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