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

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

What do you mean by linear programming problem, Q1. a. What do you mean by ...

Q1. a. What do you mean by linear programming problem? Explain the steps involved in linear programming problem formulation? b. A paper mill produces two grades of paper viz., X

Question, A paper mill produces two grades of paper viz., X & Y. Because of...

A paper mill produces two grades of paper viz., X & Y. Because of raw material restrictions, it cannot produce more 400 tons of grade X paper & 300 tons of grade Y paper in a week.

Queuing theory, A certain type of machine breaks down at an average rate of...

A certain type of machine breaks down at an average rate of 5/hour. the break down is in accordance with Poisson process.cost of idle machine hour is $15/hour. 2 repairmen Peter an

Sing test- hypothesis testing, SING TEST The sign test  is the simples...

SING TEST The sign test  is the simplest  of the  parametric  tests. Its name comes  from the  fact  that it is based  on the direction ( or sings  for  pluses or minuses ) of

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

#titleHungaran method.., how to use the hungarian method

how to use the hungarian method

TRANSPOTATION, LIMITS OF TRANSPOTATION PROBLEM

LIMITS OF TRANSPOTATION PROBLEM

Steps involved in linear programming problem formulation, Question A - Line...

Question A - Linear Programming is most widely used technique for large number of applications in business industry as well as in various other fields. Describe in brief the steps

Dina, Construct a two-variable LP model that: · Maximizes Z; · ...

Construct a two-variable LP model that: · Maximizes Z; · All coefficients in the objective function are greater than 500; · Includes at least 5 constraints;

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