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

Microforms and photographs - classification of documents, Photographs and I...

Photographs and Illustrations: Photographs and illustrations are documents which provide a visual or pictorial representation of a person, place or situation which words fail

Experimental method, In this method variables beings studied are contro...

In this method variables beings studied are controlled by the investigator. In other the effect of one variable is observed while other relevant variables are held constant

Duality, Formulation of convert to primal method to dual in lpp

Formulation of convert to primal method to dual in lpp

Ap problem, Ask question A Company produces 150 cars. But the production ra...

Ask question A Company produces 150 cars. But the production rate varies with the distribution. Production Rate Probability 147 0.05 148 0.10 149 0.15 150 0.20 151 0.30 152 0.15 15

What do you understand by the term queueing theory, Question: (a) (i) W...

Question: (a) (i) What do you understand by the term ‘queueing theory'? Give two real life examples to illustrate your answer. (ii) Outline the five components involved in

LPP, A paper mill produces two grades of paper viz., X and Y. Because of ra...

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

Introduction to Operations research, discuss applications and scope of oper...

discuss applications and scope of operations research in diverse areas.

Explain the graicunas theory, Question 1 Discuss the impact of Henry Fayol...

Question 1 Discuss the impact of Henry Fayol's principles of management on the modern techniques of management with the help of suitable examples Question 2 Explain the Gary

Transportation and linear programming., #what is the similarity and differe...

#what is the similarity and difference between transportation and linear programing models?

Solve lpp question graphically, A producer of furniture manufactures two pr...

A producer of furniture manufactures two products - tables and chairs. Processing of these products is done on two machines A and B. A chair needs 2 hours on machine A and 6 hours

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