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

Summary report - report writing presentation, Summary  Report The  r...

Summary  Report The  report  format  suggested  above  does  not  contain  any  summary  section. This exclusion  is deliberate. The summary  should  not be  prepared until t

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

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

Software, role of computer software operation research

role of computer software operation research

''qualitative generic research'', Use the following article on qualitative ...

Use the following article on qualitative approaches written by Kahlke (2014), http://ejournals.library.ualberta.ca/index.php/IJQM/article/viewFile/19590/16141/ to answer the fol

Steps involved in hypothesis testing of the mean , Statement of Hypothesis...

Statement of Hypothesis The  two hypothesis  i  ,e,  null hypothesis  (H 0 ) and Alternative Hypothesis (H 1 ) are so  constructed  that if  one is  correct the other  is wron

Limitations of operational researchers, Among other limitations of O. R the...

Among other limitations of O. R the followings deserve mention: a. Basis: The operational researchers must be unbiased. An attempt to shoehorn result sin to a confirmation of ma

Duality, For every LP formulation there exists another unique linear ...

For every LP formulation there exists another unique linear programming formulation called the 'Dual' (the original formulation is called the 'Primal'). Same data

Construction procedure for research tool, CONSTRUCTION PROCEDURE The c...

CONSTRUCTION PROCEDURE The construction of an interview schedule or questionnaire is a time consuming task requiring considerable attention to all the details. The investig

Game thoery, In a rectangular game, pay-off matrix of player A is as follow...

In a rectangular game, pay-off matrix of player A is as follows: i) Solve the game. ii) Write down the pay-off matrix of B and then, solve the game.

Write Your Message!

Captcha
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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd