Determine the demand functions, Econometrics

Assignment Help:

The town of Dusty View, Saskatchewan has only two residents - Justin and Sarah - and has a water supply shortage in the summer. The municipal water utility charges a break even price of $100 per unit of water but the system capacity is limited to 500 units. Justin and Sarah's marginal utility functions for water in the summer are as follows:

            MU(Justin) = 1600 - 4W

            MU(Sarah) = 1200 - 4W

a)  Determine the demand functions for Justin and Sarah and the total demand for water in Dusty View. Show that there will be a summer water shortage.

b)  Suppose the town decides to increase the price of water until there is no excess demand. Calculate the new price and the gains from trade (individual consumer surpluses and town profit) resulting from this decision.

c)  Now suppose the town decides against using price to ration water and instead allocates the water fairly between Sarah and Justin - 250 units each - and reverts to charging $100 per unit. Assume resale between Sarah and Justin is impossible. Calculate the gains from trade in this case. Why is it better/worse than the solution in b)?

d) Now suppose resale is possible under the 250 unit per person allocation plan. What will be the final result? How does it compare with the result in b)? 

 


Related Discussions:- Determine the demand functions

Homoscedasticity and heteroscedasticity, Probelm: (a) Differentiate bet...

Probelm: (a) Differentiate between homoscedasticity and heteroscedasticity. (b) Outline the reasons why the variances of disturbance term may vary. (c) Given the 3 observ

Ethical problem in dependent variable, The attached Eviews results are for ...

The attached Eviews results are for a model who has a professional career (dependent variable = pro (1 if respondent has a professional career, 0 otherwise). The data is the 1979 c

Calculate the after-tax operating cash flows, Your firm will produce widget...

Your firm will produce widgets for the next 10 years (starting at t=1). Annual revenue from selling widgets is $20,000. Production requires an initial outlay (at t=0) for machin

Cournot duopoly model, i) Briefly distinguish between the Cournot duopoly m...

i) Briefly distinguish between the Cournot duopoly model and that of Stackelberg.     ii) Suppose the  inverse  market demand curve for  a telecommunications equipment is P = 10

Agrilculture based project, visit to a village panchayat for agrilculture b...

visit to a village panchayat for agrilculture based project

Diagnostic test, explanation on diagnostic test in time series

explanation on diagnostic test in time series

Stationary testing, Help with how to calculate a value from the dickey full...

Help with how to calculate a value from the dickey fuller test

Lag, reasons of lags

reasons of lags

Draw a line starts from left to right and positive slope, Can you draw a li...

Can you draw a line which starts from left to right has a positive slope?

Impulse Response function (IRF), My question is that when we use Impulse re...

My question is that when we use Impulse response function and how to use it. Is it used along with some other methodology. What is the meaning of graphs of IRF?

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