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

Ge, Ask question #Minimum 100 words what can engineer planner do in métallu...

Ask question #Minimum 100 words what can engineer planner do in métallurgie accepted#

Linear Programming, A paper mill produces two grades of paper viz., X & Y. ...

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.

T, #Principles of OR

#Principles of OR

Game Theory, Task1:- A company is currently involved in negotiation with it...

Task1:- A company is currently involved in negotiation with its union on the upcoming wage contract. Positive signs in the table represent wage increase while negative sign represe

Discuss the term group decision making, a. Determine the following with res...

a. Determine the following with respect to decision making approaches: (i) Group decision making (ii) Directive, analytic, conceptual and behavioral decision making styles (8

the simplex method, In large sized linear programming problems, the ...

In large sized linear programming problems, the solution cannot be obtained by the graphical method and hence a more systematic method has to be developed to find

Rephrasing the research problem, Rephrasing the Research Problem Final...

Rephrasing the Research Problem Finally as a researcher you should rephrase the research problem. Once you have followed all the four steps above, i.e., 1) You have clear

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

Mccolvin''s principles, McColvin's Principles: L.R McColvin advanced h...

McColvin's Principles: L.R McColvin advanced his Demand and Supply Theory of Book Selection in 1925. He states, "Books in themselves are nothing. They have no more meaning tha

Books - report writing presentation , Books a. One author : Authors...

Books a. One author : Authors  last name  first name title  of books place of publication: publisher copyright data page numbers used. b. Two Author : First  author  la

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