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

Scope and concept, Explian scope and concept of Operations research?

Explian scope and concept of Operations research?

Two handed process chart of signing a latter, Two Handed process Chart of S...

Two Handed process Chart of Signing a Latter     A multiple  activity  chart  records the related  sequence of activities  of more  than one subject, men  and / or  machine  o

Liner, b. A paper mill produces two grades of paper viz., X and Y. Because ...

b. 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 pape

CONCEPT OF DUALITY IN LPP, EXPLAIN THE CONCEPT OF DUALITY IN LPP THROUGH A ...

EXPLAIN THE CONCEPT OF DUALITY IN LPP THROUGH A LIFE SITUATION

Replacement theory.., a pipe lis dur for rpair,the repair would cost 10000 ...

a pipe lis dur for rpair,the repair would cost 10000 and it would last for 3 years.alternatively a new pipe line can be purchase at 30000 for 10 years.assuming 10% depriciation rat

Linear programming simplex method, How to solve linear programming problems...

How to solve linear programming problems using simplex method introducing slack variable,surplus variable and artificial variable

MB0048, A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y. BECAUSE OF...

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

LPP, Solve the following Linear Programming Problem using Simple method. Ma...

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

Optimum 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

Data and information, Data and Information: The term "data" (plural fo...

Data and Information: The term "data" (plural form of datum) refers to "an individual fact, statistic, or a piece of information or a group or a body of facts, statistics or t

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