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

Differentiate among descriptive and inferential analysis o, Question 1 ...

Question 1 A) Differentiate among descriptive and inferential analysis of data B) Describe with examples various measures of Central Tendency Question 2 The chi-square

Dynamic programming models, Dynamic programming may be considered thoutgr...

Dynamic programming may be considered thoutgrowth of mathematical programming and involves the optimization of multistage( sequence of inter related decisions) decision process

Mathematical Model, What is meant by a mathematical model of a real situati...

What is meant by a mathematical model of a real situation? Discuss the importance of models in the solution of Operations research problems

Narrowing the research problem, NARROWING THE RESEARCH PROBLEM You h...

NARROWING THE RESEARCH PROBLEM You have read how from a general topic we have arrived at the definition of the problem to be studied. Now we have to narrow it down furthe

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

What are artificial variable why do you need them

Linear programming, A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y...

A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y. BECAUSE OF RAW MATERIAL RESTRICTIONS, IT CANNOT PRODUCE MORE THAN 400 TONS OF GRADE X PAPER AND 300 TONS OF GRADE Y PAPER I

Operation research, different classification of models in operation researc...

different classification of models in operation research

Explain decision making process, Explain Decision Making Process. Deci...

Explain Decision Making Process. Decision Making Process: A good decision can only be prepared as a result of a rational decision making process. The different stages of the

Assignment, Six Operators are to be assigned to five jobs with the cost of ...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Identify and comment on cultural similarities, You are required to analyse ...

You are required to analyse the case study, as indicated under these headings: 1. Identify FIVE persons, bodies, organisations or groups in the case study. 2. For EACH of the

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: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

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