Determine the optimal strategy for the breeder, Microeconomics

Assignment Help:

Consider a decision faced by a cattle breeder. The breeder must decide how many cattle he should sell in the market each year and how many he should retain for breeding purposes.  Suppose the breeder starts with a herd of 200 cattle. If he breeds cattle, he obtains 1.4 times as many cattle per year as he started with.  The cost of breeding is $30 for each head of cattle not sold.  Breeding takes one year, and the $30 cost includes all expenses of maintaining an animal and its offspring.  Alternatively, the breeder may sell cattle in the market, at a price which depends on how many cattle he sells.  If Y represents the number of cattle which are sold in a given year, then the Price, P, is given by the following equation:

       P = 200 - 0.2Y,        0 ≤Y ≤ 1,000

Start at the end of the actual decision process and represent the size of the herd in year 10 as x10. The herd is to be sold at $150 per head at the beginning of year 10 and consider f10(x10)= 150 x10.

Assume that the breeder plans to sell his entire herd at the beginning of 10 years from now and retire.  Determine the optimal strategy (of breeding and selling in the market place) for the breeder over the next ten years using dynamic programming, so that his profits are maximised at the time of retirement.


Related Discussions:- Determine the optimal strategy for the breeder

Explain about social-democracy, Q. Explain about Social-Democracy? Soci...

Q. Explain about Social-Democracy? Social-Democracy:It's a reformist political strategy that aims to win certain improvements in social and economic conditions under capitalism

Monopoly help, Monopoly and Oligopoly help?!? 1. Your firm sells a perfume....

Monopoly and Oligopoly help?!? 1. Your firm sells a perfume. The daily demand for your perfume estimated by your economists is given by P=150-5Q Your marginal cost is constant at $

Quantitatif method, When the demand function is 2Q - 24 + 3P = 0, find the ...

When the demand function is 2Q - 24 + 3P = 0, find the marginal revenue when Q=3.

The budget line, The Budget Line The line BB gives the persons budget cons...

The Budget Line The line BB gives the persons budget constraint. It is described by the linear equation c + wl = w; which can be rewritten as c = w - wl: The budget li

Bookseller, Nile.com, the online bookstore, wants to increase it''s total r...

Nile.com, the online bookstore, wants to increase it''s total revenue. One strategy is to offer a 10% discount on every book that sells. Nile.com knows it''s customers can be divid

Various intermediate quantities, An economy can produce a maximum of either...

An economy can produce a maximum of either 28 million tons of wheat or 7,000 automobiles, or various intermediate quantities, as depicted in the table below:

Political economy, Consider the model of corruption explored by Shleifer an...

Consider the model of corruption explored by Shleifer and Vishni’s where there is one government-produced good X. There is a demand for that good described by the inverse demand eq

Mixed economics, Mixed Economic System and how can this system solve the ec...

Mixed Economic System and how can this system solve the economic problem, with example?

How can we calculate the inflation rate, How can we calculate the Inflation...

How can we calculate the Inflation rate Inflation:   The rise in general prices and the decrease in value of money. Inflation is a sustained increase in the general price level

True False question, 1. Cost minimizing firms must be profit maximizing as ...

1. Cost minimizing firms must be profit maximizing as well. False, why??

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