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

Wanna solution for this, A paper mill produces two grades of paper viz., X ...

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

Linear programming, #questiona paper mill produce two grades of x&y.becouse...

#questiona paper mill produce two grades of x&y.becouse of raw material reswtriction

Applicattion of operation reserach, applications of operation research

applications of operation research

Simplex method, Solve the following Linear Programming Problem using Simple...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

Attitude measurement and methodology , Case Study  - Attitude Measurement ...

Case Study  - Attitude Measurement National Kitchens For  several years  the management  of national kitchens a diversified packaged foods manufacturer  had been  watch

Quality circles, advantage of quality circle process

advantage of quality circle process

Sample survey methods:, Sample Survey Methods: If proposed investigati...

Sample Survey Methods: If proposed investigation is done  only on  a part taken  out of  universe then it  will be  known  as sample  survey. This  part of the universe is kno

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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

Overview of writing research proposal, Overview of Writing Research Proposa...

Overview of Writing Research Proposal It may be written in words of the researcher or as answers following the guidelines provided by the sponsoring organization. A review of

Find the maximum and minimum values, Problems based on solution of a given ...

Problems based on solution of a given LPP when it has multiple optimal solution: 1.    Find the maximum and minimum values of 5x+2y, subject to the constraints -2x-3y ≤ -6

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