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

Pert and cpm, what is pert and cpm?

what is pert and cpm?

What strategies may be used in gaining acceptance, QUESTION a) "Organiz...

QUESTION a) "Organizations have to change only because changes in their external environments force them to change." Discuss b) What restraining forces may block the impleme

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

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

Operation research, Significance of operation research

Significance of operation research

Introduction to Operations research, discuss applications and scope of oper...

discuss applications and scope of operations research in diverse areas.

Research essay, how Network Scheduling solving a real problem in a real bus...

how Network Scheduling solving a real problem in a real business .

Determine the weekly demand and lead time, Family Application specialises i...

Family Application specialises in selling major appliances for use in kitchen remodelling.  One of its more popular items is the SubZero refrigerator.  Over the past 40 weeks, the

Conclusions and recommendations , Conclusions and Recommendations  Con...

Conclusions and Recommendations  Conclusions  should  be drawn with  direct  reference to the objectives  of the study. The  readers should  be able  to read the objectives. T

Linear programming, mile-high microbrewery makes a light beer and a dark be...

mile-high microbrewery makes a light beer and a dark beer. mile-high has a limited supply of barley, limited bottling capacity, and a limited market for light beer. profits are $0.

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

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