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

State-owned enterprises should be encouraged or discouraged, Question 1: ...

Question 1: a. What is the supposed rationale for subsidising higher education in various developing countries? b. Do you think there is a legitimate rationale to the abov

2 econ problems, I have the answers to these two questions, but I need to k...

I have the answers to these two questions, but I need to know HOW to get these answers. Thanks. Question 1 Suppose there are two goods beverage and pizza and two inputs land, T

Sources of monopoly power, Sources of monopoly power: The main sources...

Sources of monopoly power: The main sources of monopoly power include the following: (i) Control of the entire supply of a basic input . It only one firm has access to or co

Optimization, This is the practice of maximizing profits and revenues and m...

This is the practice of maximizing profits and revenues and minimizing costs, using marginal analysis.

Explain endogenous growth theory, Problem 1: (a) Critically examine the...

Problem 1: (a) Critically examine the differences between the Neo-classical growth models and the endogenous growth theory. (b) Show the relevance of such models in explain

Game Theory, Three People choose whether to contribute a fixed amount towar...

Three People choose whether to contribute a fixed amount toward the provision of a public good. This good is provided if and only if at least two of them contribute. If it is not p

Long period analysis, LONG PERIOD ANALYSIS: Long period refers to a ti...

LONG PERIOD ANALYSIS: Long period refers to a time when all the factors are variable. Earlier in the short period analysis, we had considered capital (K) to be fixed factor. H

Help, A monopolist faces the inverse demand for its output: p = 30 – Q The ...

A monopolist faces the inverse demand for its output: p = 30 – Q The monopolist also has a constant marginal and average cost of $4/unit. The government is seeking ways to collect

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