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

Assignment, discuss about assignment and steps involved in it

discuss about assignment and steps involved in it

Theoretical framework, Ask questiAvatars are virtual characters that can be...

Ask questiAvatars are virtual characters that can be used as representatives of a company that is using the Internet as a distribution channel. For instance, avatars can be used as

Sequencing problem, What is the optimum solution

What is the optimum solution

Least cost method of transportation model, how do you calculate using this ...

how do you calculate using this method where the least cost appears twice

I need answer for the below question, A paper mill produces two grades of p...

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

Operations research as a decision-making sci, Short Define operations resea...

Short Define operations research as a decision-making science

A paper mill, A paper mill products two grade of paper viz., X & Y. Because...

A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we

Simplex method, how to use simples method

how to use simples method

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

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

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