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

Cohort study, Cohort study : An investigation in which the group of individ...

Cohort study : An investigation in which the group of individuals (or the cohort) is identi?ed and followed prospectively, possibly for many years, and their subsequent medical his

Exploratory data analysis, The approach to data analysis which emphasizes t...

The approach to data analysis which emphasizes the use of informal graphical procedures not based on former assumptions about structure of the data or on the formal models for the

Explain markers of disease progression, Markers of disease progression : Qu...

Markers of disease progression : Quantities which form a general monotonic series throughout the course of the disease and assist with its modelling. In uasual such quantities are

Distribution free methods, The statistical methods for estimation and infer...

The statistical methods for estimation and inference which are based on a function of sample observations, probability distribution of which does not rely upon a complete speci?cat

Fibonacci distribution, The probability distribution of the various observa...

The probability distribution of the various observations is required to obtain the run of two successes in the series of Bernoulli trials with the probability of success equal to a

Multitrait multi method model (mtmm), Multitrait multi method model (MTMM) ...

Multitrait multi method model (MTMM) is the form of confirmatory factor analysis model in which the different techniques of measurement are used to measure each of the latent vari

Average age at death, Average age at death : A ?awed statistic summarizing ...

Average age at death : A ?awed statistic summarizing expectancy of the life and other aspects of the mortality. For instance, a study comparing average age at the death for male sy

Case Study: Test Market, You and your team have been hired as strategic con...

You and your team have been hired as strategic consultants by the hugely successful retailer known as “Cutie Pie”. The company sells many products, although one product in particul

Linearity - reasons for screening data, Linearity - Reasons for Screening D...

Linearity - Reasons for Screening Data Many of the technics of standard statistical analysis are based on the assumption that the relationship, if any, between variables is li

Bartlett''s test for variances, Bartlett's test for variances : A test for ...

Bartlett's test for variances : A test for equality of the variances of the number (k)of the populations. The test statistic can be given as follows   where s square is an

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