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

What is studying platform, What is studying platform? Explain this term in ...

What is studying platform? Explain this term in brief. Studying Platform: A studying platform into modern economics comprises some basic economic principles or theories. Thi

Quality control - export strategy, Quality Control: Standards and sta...

Quality Control: Standards and standardisation, quality systems, certification and inspections, measurement systems, testing laboratories, their accreditation and calibration

Secondhand smoke globally kills more than 600, Secondhand smoke globally ki...

Secondhand smoke globally kills more than 600,000 people each year, accounting for 1 percent of all deaths worldwide, according to a new study. . . . Researchers estimated th

Discuss about the evaluation step in analytical frameworks, Discuss about t...

Discuss about the evaluation step in analytical frameworks. Evaluations: The fifth step into studying an economic step is to estimate outcomes resulting through the under

Intermediate microeconomics, For each of following production functions, co...

For each of following production functions, comment on the ability to substitute capital for labor. Note that Q, K, and L denote output, capital, and labor respectively. A: B

Changes in market equilibrium, Changes in Market Equilibrium Equilibriu...

Changes in Market Equilibrium Equilibrium prices are known by the associate level of supply and demand. Supply and demand are decided by particular values of supply & demand

Demographic profile, DEMOGRAPHIC PROFILE: A demographic profile of Ind...

DEMOGRAPHIC PROFILE: A demographic profile of India can be prepared out of the data collected by the office of the Registrar General of India who is the responsible authority

What is the distinguishing characteristic of institutions, What is the dist...

What is the distinguishing characteristic of institutions in the public purpose sphere? The distinguishing characteristic of institutions in the public purpose sphere is that t

The demand curve of monopoly, when does price and output determined in the ...

when does price and output determined in the unregulated monopoly

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