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

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

Formulation of convert to primal method to dual in lpp

Application of operation reserch., how i make project report on "applicatio...

how i make project report on "application of or".i want help from you.can you give me idea to complete this report..

Why the dual formulation?, Dual formulation is done for a number of r...

Dual formulation is done for a number of reasons. The solution to a Dual problem provides all essential information about the solution to the Primal problem. A so

Knowledge - library and information services, Knowledge: The dictionar...

Knowledge: The dictionary definition of knowledge is 'organised body of information or the comprehension and understanding, consequent on having acquired an organised body of

Web based emergency operations center, You are the emergency manager for Ch...

You are the emergency manager for Cheyenne County in a western state. Cheyenne County is located mid-way between two major urban areas and has historically been a rural county. The

Dynamic programming, A company is planning its advertising strategy for the...

A company is planning its advertising strategy for the next year for its three major products.

OR models, Explain why it may be advantageous to build models to help in so...

Explain why it may be advantageous to build models to help in solving a decision problem.

Periodical article - report writing presentation , Periodical Article ...

Periodical Article A periodical is a publication that is  published  periodically like  a newspaper a magazine  and a journal. Usually  periodicals have  volume numbers  and n

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

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