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

Quartiles, QUARTILES The three points on the scale  of observation ( o...

QUARTILES The three points on the scale  of observation ( or  values  of the variable) which  divide  the total  frequency  into four  equal  parts are called  quartiles for t

OPTIMAL ASSIGNMENT., Six Operators are to be assigned to five jobs with the...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Describe the objectives of tax planning, Question 1 Describe the obje...

Question 1 Describe the objectives of tax planning. Explain the factors to be considered in tax planning. Question 2 Describe the categories in Capital assets. Mr.

One sample sign test - hypothesis testing , One Sample sign Test In...

One Sample sign Test In a one  sample  test the  null  hypothesis μ = μ 0 against an  appropriate alternative on the basis of a random sample of size n we replace each sam

Inventory control research, Given an inventory system where Yearly demand ...

Given an inventory system where Yearly demand = 120 units Ordering cost = Sh. 45 Price per unit = Sh. 200 Annual carrying cost = 24% of the unit cost Determine The economic or

Optimal assignment, Six Operators are to be assigned to five jobs with the ...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Purchasing, need of detailed information about the topic

need of detailed information about the topic

Describe the problems of operation management, describe the problems of ope...

describe the problems of operation management

Modi method, find optimal solution for a 3*4 matrix 42 27 24 35 46 37 32 3...

find optimal solution for a 3*4 matrix 42 27 24 35 46 37 32 32 40 40 30 35 using modi method

Techniques of operations research, There is no unique set of problems which...

There is no unique set of problems which can be solved by using operations Research Models r techniques. Several operations Research Models or techniques can be grouped into some b

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