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

Calculate, 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 in

Operation, #question.A paper mill produces two grades of paper viz., X and ...

#question.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 grad

Advantages of mode - measure of central tendency, Advantages of Mode ...

Advantages of Mode a.It is easy to understand  as well as easy  to calculate. In  can be found out by  inspection. b.It is  usually an exacta value  as it  occurs most fre

Action phase - phase of operation research, The action phase consists of ...

The action phase consists of making recommendations for remedial action to those who first posed the problem and who control the operations directly. These recommendatio

Chi square test goodness of fit- hypothesis testing, Chi Square  Test Good...

Chi Square  Test Goodness of Fit Chi square test  can be used to find out  how well the  theoretical distribution fit  with the  empirical distribution  of observed distribut

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

Find out where you should now invest your money, Question : Suppose tha...

Question : Suppose that you want to invest $10000 in the stock market by buying shares in one of two companies: A and B. Shares in Company A are risky but could yield a 50% ret

Discuss the basic components of any queueing system, Question: (a) Disc...

Question: (a) Discuss briefly the four basic components of any queueing system. (b) Explain what you understand by the following models: (i) (M| M | 1 : N | FCFS) (ii

Using software for analysis grouping, Using   Software for Analysis Group...

Using   Software for Analysis Grouping and Displaying Data   to Convey Meaning Normal 0 false false false EN-IN X-NONE X-NONE

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

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: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

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