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

Simple method, solve the LPP using simple method, maximize z= 3x1+2x2 subje...

solve the LPP using simple method, maximize z= 3x1+2x2 subject to constraints

Complexity - necessity of operations research, In a big industry the numbe...

In a big industry the numbers of factors influencing a decision have increased situation has become big and complex because these factors interact with each other in complica

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

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 pa

Strategies and od intervention techniques, QUESTION 1 Change strategies...

QUESTION 1 Change strategies and OD intervention techniques follow from diagnosis. An inappropriate intervention due to a faulty diagnosis may be very costly to an organization

Research and development - information generation process, Research and Dev...

Research and Development: All intellectual activities consciously pursued and systematically completed generate useful information. Research (also Research and Development) is

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

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

Why the dual formulation?, Dual formulation is done for a number of r...

Dual formulation is done for a number of reasons. The solution to a Dual problem provides all essential information about the solution to the Primal problem. A so

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

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