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

Machine tabulation, Machine  Tabulation This methods  of tabulating i...

Machine  Tabulation This methods  of tabulating information  is generally used in  case of extensive  large scale  surveys. Mechanical sorting and tabulating equipments and su

Mr Diwakar, A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y. BECAUS...

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

HOMEWORK, A company uses 4 pounds of resource 1 to make each unit of X1 and...

A company uses 4 pounds of resource 1 to make each unit of X1 and 3 pounds of resource 1 to make each unit of X2. There are only 150 pounds of resource 1 available. Which of the fo

Information resources, INFORMATION RESOURCES: Information resources ar...

INFORMATION RESOURCES: Information resources are of two kinds, namely, Documentary and Non-Documentary Sources. Documentary Sources: A document embodies thought. I

Lpp, Determine feasible space for x1-x2= 8

Determine feasible space for x1-x2= 8

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

Application Areas of Linear Programming, what is meant by Application Areas...

what is meant by Application Areas of Linear Programming?

Mode of presentation - report writing presentation, Mode  of Presentation...

Mode  of Presentation A strategy  needs to be  chalked out for  a satisfactory  rendering of the  topic. The  man oeuvres are going  t vary  with a  change in the  manner  of

LPP, USE SIMPLE METHOD TO SOLVE THE FOLLOWING LPP MAXIMISE Z=4X1+10X2 SUBJE...

USE SIMPLE METHOD TO SOLVE THE FOLLOWING LPP MAXIMISE Z=4X1+10X2 SUBJECT TO CONSTRAINS, 2X1+X2 2X1+5X2 2X1+3X2 X1, X2>0

Poisson Process, Telephone calls arrive at a switchboard in a Poisson proce...

Telephone calls arrive at a switchboard in a Poisson process at the rate of 2 per minute. A random one-tenth of the calls are long distance. (a) What is the probability of at least

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