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

Explain the history of boots and shoes, Question 1 Explain any five access...

Question 1 Explain any five accessory industries Question 2 Explain the history of boots and shoes Question 3 Write short notes on following- Types of Gujarati emb

On the basis of ratio of change direction, On the  Basis  of Ratio of Ch...

On the  Basis  of Ratio of Change  Direction   a. Linear Correlation: The  correlation  between  two variables a said  to be liner if  corresponding  to a unit change in th

Linear programming solution by steps for two-phase method, Solve by Steps f...

Solve by Steps for Two-Phase Method Max Z = 5x 1 + 8x 2 Subject to 3x 1 + 2x 2 ≥ 3 x 1 + 4x 2 ≥ 4 x 1 + x 2 ≤ 5     &     x 1 ≥ 0, x 2  ≥ 0 Answe

Operation Research.., 3. Explain ‘Vogel Approximation Model (VAM)’.? answer...

3. Explain ‘Vogel Approximation Model (VAM)’.? answer please

Solve the problem using simplex method, #question. A paper mill produces tw...

#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

Linear programming problem, A paper mill produces two grades of paper viz....

A paper mill produces two grades of paper viz., X and Y. Because of raw each) material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of g

Linear Programming Problem, A paper mill produces two grades of paper viz.,...

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 proramming , 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

Linear programing, Maximize6x1+8x2+5x3,st,labour3x1+4x2+5x3 =0 then brefly ...

Maximize6x1+8x2+5x3,st,labour3x1+4x2+5x3 =0 then brefly explain x1,x2,x3;term labour,metal&plastic;the160hours;x1,x2&x3>=0

Transportation and linear programming., #what is the similarity and differe...

#what is the similarity and difference between transportation and linear programing models?

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