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

Lpp, Determine feasible space for x1-x2= 8

Determine feasible space for x1-x2= 8

LLP, 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

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

Introduction to operation research, significance and scope of operation res...

significance and scope of operation research

Report writing - report writing presentation, REPORT WRITING The final...

REPORT WRITING The final step in research is to report the study  findings to those  who authorized the investigation. The American marketing association is  of the opinion  t

Graphic , max z 60x1+50x2 Sab to 4x1+10x2 2x1+2x2 3x...

max z 60x1+50x2 Sab to 4x1+10x2 2x1+2x2 3x1+2x2 X1+x2. >_ o

Importance of normal distribution , Importance of Normal Distribution ...

Importance of Normal Distribution Normal distribution  plays  a very  important  role in  statistical  theory  and in  particular  in sampling theory. It has  been  found  th

Model building, Model building is the essence of the operations research ap...

Model building is the essence of the operations research approach? Discuss. question #Minimum 100 words accepted#

Ans, 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

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