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

Model, What are the features of blending model

What are the features of blending model

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

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

Weaning and definition, Weaning  and Definition A systematic  arrange...

Weaning  and Definition A systematic  arrangement of classified  data in labelled columns and  rows  is  known  a statistical table. Turtle has given  a comprehensive defin

Books - report writing presentation , Books a. One author : Authors...

Books a. One author : Authors  last name  first name title  of books place of publication: publisher copyright data page numbers used. b. Two Author : First  author  la

Functions and objects of statistical average , Normal 0 false...

Normal 0 false false false EN-IN X-NONE X-NONE

Scope of operations research, Scope of the OR techniques can be derived ...

Scope of the OR techniques can be derived in followings various importance fields: 1. In Agriculture : With the explosion of population and consequent shortage of food O

Optimization , A company uses 4 pounds of resource 1 to make each unit of X...

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 programming, maximize z=3x1+2*2 subject to the constraints x1+x2=4 x...

maximize z=3x1+2*2 subject to the constraints x1+x2=4 x1-x2=2 x1.x2=0

Model building is the essence of the operations research app, Model buildin...

Model building is the essence of the operations research approaches?

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

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

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