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

Principles of construction of research tool, Principles of Construction of ...

Principles of Construction of Research Tool Content of research tool should be based on aims and need of research problem: The questioning words must be concise compreh

Answering questions for minimum spanning tree problems, Sample Assignment f...

Sample Assignment for minimum spanning tree problems For the subsequent graph get the minimum spanning tree. The numbers on the branches presents the cost.

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

Linear programming, How do I set this problem up for Excel: A National Cred...

How do I set this problem up for Excel: A National Credit Union has $250,000 available to invest in a 12 month commitment. The money can be placed in Treasury notes yielding an 8%

Lpp linear programming problems exercise, Exercise Define the t...

Exercise Define the terms used in LPP. Mention the advantages of LPP. What are the assumptions and limitations of LPP? A firm produces three pro

A paper mill produces, . A paper mill produces two grades of paper viz., X ...

. 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

Necessity of operations research, After having studied as to what is op...

After having studied as to what is operations research we shall now try to answers why its need has been felt by the industry. As already tainted out science of OR came

Transportation and assignment problems, wha

wha

LPP, Solve the following Linear Programming Problem using Simple method. Ma...

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

CONCEPT OF DUALITY IN LPP, EXPLAIN THE CONCEPT OF DUALITY IN LPP THROUGH A ...

EXPLAIN THE CONCEPT OF DUALITY IN LPP THROUGH A LIFE SITUATION

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