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

Relationship between media producers and audiences, 1. We have looked at a ...

1. We have looked at a number of theories explaining the nature of the relationship between media producers and audiences. Give a detailed description of at least three of these ap

Anthology or book with articles or works by many authors , Anthology or Bo...

Anthology or Book with Articles  or Works by Many Authors   The name  of the person  compiling the book  will be  given  followed  by the  word editor. For more  than one  edit

Disadvantage of standard deviation - measure of dispersion, Disadvantage ...

Disadvantage  of standard Deviation It is not  easy  to understand  and calculate. It gives  more  weight  to the extremes  and less  to the items   nearer to mean. Since

Investigate the link between engine wear and mileage, The Association of Ma...

The Association of Malawi Mechanics has commissioned a study to investigate the link between engine wear and mileage. The main focus of the study is to determine whether the mileag

Techniques of work measurement, Techniques  of Work  Measurement A n...

Techniques  of Work  Measurement A number of work  measurement  techniques  have been  developed  to suit  different  types of work . There are: 1. Repetitive work: The

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

Formulation of convert to primal method to dual in lpp

Case study and statistical methods, Case Study Methods: It is studying the...

Case Study Methods: It is studying the phenomenon event situation or development through a thorough and detailed analysis or intensive study. The case may be an individual a gr

Simplex method, Solve the following Linear Programming Problem using Simple...

Solve the following Linear Programming Problem using Simplex method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

Jaguar, how jaguar implements aggregate planning?

how jaguar implements aggregate planning?

Linear Programming Problem, A paper mill produces two grades of paper viz.,...

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