User Account

All Pages

goal programming, Operation Research

Assignment Help:
A farmer in the Midwest has 1,000 acres of land on which she intends to plant corn, wheat, and

soybeans. Each acre of corn costs $100 for preparation, requires 7 worker-days of labor, and yields a

profit of $30. An acre of wheat costs $120 to prepare, requires IO worker-days of labor, and yields $40

profit. An acre of soybeans costs $70 to prepare, requires 8 worker-days, and yields $20 profit. The

farmer has taken out a loan of $80,000 for crop preparation and has contracted with a union for 6,000

worker-days of labor. A midwestern granary has agreed to purchase 200 acres of corn, 500 acres of

wheat, and 300 acres of soybeans. The farmer has estab­lished the following goals, in order of their

importance:

(I) To maintain good relations with the union, the labor contract must be honored; that is, the full

6,000 worker-days of labor contracted for must be used.

(2) Preparation costs should not exceed the loan amount so that additional loans will not have to be

secured.

(3) The farmer desires a profit of at least $105,000 to remain in good financial condition.

(4) Contracting for excess labor should be avoided.

(5) The farmer would like to use as much of the available acreage as possible.

(6) The farmer would like to meet the sales agreement with the granary. However, the goal should

be weighted according to the profit returned by each crop.

a. Formulate a goal programming model to determine the number of acres of each crop the farmer

should plant to satisfy the goals in the best possible way.

b. Solve this model by using the computer.

Related Discussions:- goal programming

Tower of hanoi problem, Step 1: Research Towers of Hanoi problem The Tow...

Step 1: Research Towers of Hanoi problem The Towers of Hanoi is a problem frequently used to teach recursive programming techniques. Step 2: Run the assembly code from Hanoim

Complexity - necessity of operations research, In a big industry the numbe...

In a big industry the numbers of factors influencing a decision have increased situation has become big and complex because these factors interact with each other in complica

Methods of scientific research, Methods is a tool or a techniques used t...

Methods is a tool or a techniques used to collect data. It is procedure for obtaining knowledge based on empirical observation and logical reasoning. Field Study Metho

Techniques of observation method, Techniques of Observation Method Obs...

Techniques of Observation Method Observation always involves some interaction between respondent and researcher in which researcher has an opportunity to watch respondent fu

Scope., what is the scope of operational research in india ? explain with t...

what is the scope of operational research in india ? explain with the job names.

Research and development - information generation process, Research and Dev...

Research and Development: All intellectual activities consciously pursued and systematically completed generate useful information. Research (also Research and Development) is

Least cost method , definitions procedure and example

definitions procedure and example

Management Applications of Operation Research, Some areas of applications a...

Some areas of applications are Purchasing, Procurement and Exploration Quantities and timing of purchase Replacement policies Rules for buying, supplies Finance, Budgeting and Inv

Simple method, Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X1+ X2 2 X1, X2 0on..

Graphical method- minimization example, Minimization Example  A ...

Minimization Example  A farmer is advised to utilize at least 900 kg of mineral A and 1200 kg of mineral B to increase the productivity of crops in his fields.

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd