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

Microeconomics, Consider the market for purple magic markers. The demand fo...

Consider the market for purple magic markers. The demand for purple magic markers is perfectly elastic and the supply is upward sloping. If sellers of purple magic markers are taxe

Determinants of social demand for education - externalities, Determinants o...

Determinants of Social Demand for Education - Externalities The state has several objectives of which welfare and development of the people are most important. Promotion of cu

What is economic theory, What is Economic Theory? An economic theory th...

What is Economic Theory? An economic theory that can be considered an axiomatic approach comprise a set of assumptions and circumstances, an analytical framework and explanatio

Question, Briefly discuss the components of macroeconomics system with suit...

Briefly discuss the components of macroeconomics system with suitable explanation

Cost curves, what are the various types of cost curves?

what are the various types of cost curves?

Price crimination, (i) Define the three types of price discrimination, clea...

(i) Define the three types of price discrimination, clearly stating the different information requires of each type of discrimination. (ii) Find a real-world example of second-degr

What are price ceilings and price floors, 1. Explain what are price ceiling...

1. Explain what are price ceilings and price floors and how they effect the market for a good or service. Also show through graphs, if they cause any inefficiencies in a perfectly

Pre-funded pension, Pre-Funded Pension: A pension plan in that funds are in...

Pre-Funded Pension: A pension plan in that funds are invested and accumulated throughout an individual's working life in order to pay for subsequent disbursement of pension benefit

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