Determine the optimal strategy for the breeder, Advanced Statistics

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

Define non linear mapping (nlm), Non linear mapping (NLM ) is a technique f...

Non linear mapping (NLM ) is a technique for obtaining a low-dimensional representation of the set of multivariate data, which operates by minimizing a function of the differences

Distance sampling, The technique of sampling used in the ecology for determ...

The technique of sampling used in the ecology for determining how much plants or animals are in a given fixed region. A set of randomly placed lines or points is recognized and the

Group divisible design, Group visible design is an arrangement of the v mn ...

Group visible design is an arrangement of the v mn treatments in b blocks such that: * Each block comprises k distinct treatments k5v; * Each treatment is replicated r number

Traditional linear model, What is a Generalized Linear Model? A traditional...

What is a Generalized Linear Model? A traditional linear model is of the form where Yi is the response variable for the ith observation, xi is a column vector of explanator

Parks test, The Null Hypothesis - H0: β 1 = 0 i.e. there is homoscedastici...

The Null Hypothesis - H0: β 1 = 0 i.e. there is homoscedasticity errors and no heteroscedasticity exists The Alternative Hypothesis - H1: β 1 ≠ 0 i.e. there is no homoscedasti

Generalized method of moments (gmm), Generalized method of moments (gmm) is...

Generalized method of moments (gmm) is the estimation method popular in econometrics which generalizes the method of the moments estimator. Essentially same as what is known as the

Principal components analysis, Principal components analysis is a process ...

Principal components analysis is a process for analysing multivariate data which transforms original variables into the new ones which are uncorrelated and account for decreasing

Command-line options, Command-Line options Compression: C++:  ./comp...

Command-Line options Compression: C++:  ./compress  -f  myfile.txt  [-o  myfile.hzip  -s Java:  sh  compress.sh  -f  myfile.txt  [-o  myfile.hzip  -s] Decompression:

Continual reassessment method, Continual reassessment method: An approach ...

Continual reassessment method: An approach which applies Bayesian inference for determining the maximum tolerated dose in a phase I trial. The method starts by assuming a logistic

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