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

Operations research, What are artificial variable why do you need them

What are artificial variable why do you need them

De, describe the similarities and differences of transportation and linear ...

describe the similarities and differences of transportation and linear programing methods

RJR NABISCO, WOULD YOU RECOMMEND FOCUS GROUPS OR SOME OTHER RESEARCH DESIGN...

WOULD YOU RECOMMEND FOCUS GROUPS OR SOME OTHER RESEARCH DESIGN IN THIS SITUATION

Other determinants of sample size- sampling decisions, Other  Determinants ...

Other  Determinants  of Sample Size 1. The variability  of elements  within the population  has become  a  very  important  factor  to decide the  sample  size.    The more  v

Game theory, two person zero sum game

two person zero sum game

HOMEWORK, A company uses 4 pounds of resource 1 to make each unit of X1 and...

A company uses 4 pounds of resource 1 to make each unit of X1 and 3 pounds of resource 1 to make each unit of X2. There are only 150 pounds of resource 1 available. Which of the fo

Linear programing, A factory employs unskilled workers earning $135 per wee...

A factory employs unskilled workers earning $135 per week and skilled workers earning $270 per week. It is required to keep the weekly age bill below $24,300. The machine requires

Goal programming, A farmer in the Midwest has 1,000 acres of land on which ...

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 la

Operations strategy in an organization, 1. Investigate: The Operations Str...

1. Investigate: The Operations Strategy of your organisation or one you are familiar with and answer the following points. Does your chosen organisation have an operations

Operation research, Discuss the methodology of operation research

Discuss the methodology of operation research

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