Derive the hicksian demand function using indirect utility , Mathematics

Assignment Help:

(a) Derive the Marshalian demand functions and the indirect utility function for the following utility function:

u(x1, x2, x3) = x1 1/6 x2 1/6 x3 1/6    x1≥ 0, x2≥0,x3≥ 0

 [Hint: Try to make use of your results from problem 3 in Assignment 1 instead of redoing all the calculations here.]

(b) Using the indirect utility function that you obtained in part (a), derive the expenditure function and from it, derive the Hicksian demand function for good 1.

(c) Jack and his grandfather are sitting at the dinner table, discussing their lives. Both share the same utility function as given in part (a). Jack is boasting about his $5000 a month salary, with per-unit prices of x1, x2 and x3 being $4, $4 and $16 respectively. Jack's grandfather claims that the old days were much better because although his salary was $500 a month, the per-unit prices of x1, x2and x3 were all only $1. Do you agree with his grandfather?

 


Related Discussions:- Derive the hicksian demand function using indirect utility

Error in measurement, what is actual error and how do you find percentage e...

what is actual error and how do you find percentage error

Hcf and lcm, The HCF & LCM of two expressions are respectively (x+3) and (x...

The HCF & LCM of two expressions are respectively (x+3) and (x cube-7x+6). If one is x square+2x-3 , other is? Solution) (x+3) * (x^3-7x+6) = (x^2+2x-3) * y      ( ) (HCF*LCM=

prove that x = 2h/3, A vertical post stands on a horizontal plane.  The an...

A vertical post stands on a horizontal plane.  The angle of elevation of the top is 60 o and that of a point x metre be the height of the post, then prove that x = 2 h/3 .

Write down those features of such interactions, After seeing some children ...

After seeing some children interacting naturally, write down those features of such interactions that make peer learning potentially a better way of learning. Another point that

Graph of a function, Graph of a function Help me in understanding the ...

Graph of a function Help me in understanding the concept of graph of a function in linear algebra and matrices.

Inverse laplace transforms, Determining the Laplace transform of a function...

Determining the Laplace transform of a function is not terribly hard if we've found a table of transforms opposite us to use as we saw in the previous section. What we would want t

Arithmetic/Geometric Sequences and Binomial Expansion, Find the 35th term o...

Find the 35th term of the sequence in which a1 = -10 and the common difference is 4.

Find solution to an equation or inequality, Illustrates that each of the fo...

Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution

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