Sample linear programming problems to calculate max profit, Operation Research

The following linear programming is written to plan the production of two products. And the company wants to maximize profits.

x1 = number of product 1 produced in each batch

x2 = number of product 2 produced in each batch

Max subject to"

150x1+250x2

2x1+ 5x2 <= 200

3x1 + 7x2 <= 175

X1, x2 >= 0

How much profit is earned per each unit of product 2 produced?

a.     150

b.     175

c.      200

d.     250

 Given that

  Max Z = 150 x1 + 250 x2

 Subject to

2x1 + 5x2 <= 200

3x1 + 7x2 <= 175

And x1, x2 >= 0                  

From constraints

  2x1 + 5x2 = 200..............................  (A)

3x1 + 7x2 = 175 ...................................(B)

Or

6x1 + 15x2 = 600

6x1 + 14x2 = 350

Subtracting

X2 = 250

 Put value of x2 in equation (A), we get

2x1 = 200 - 1250 = - 1050

ð X1 = -525 which is meaning less because x1 >= 0, x2>= 0

Thus x1 = 0 and x2 = 250 .

To maximize profit , company should produce 250 units of product 2.

(d) is right answer

10.   Given  that x1 unit of resources 1, and x2 unit of resources 2.

 According to the problem

4x1 + 3x2 <= 150

Thus (b) is right answer 

Posted Date: 7/11/2012 4:33:44 AM | Location : United States







Related Discussions:- Sample linear programming problems to calculate max profit, Assignment Help, Ask Question on Sample linear programming problems to calculate max profit, Get Answer, Expert's Help, Sample linear programming problems to calculate max profit Discussions

Write discussion on Sample linear programming problems to calculate max profit
Your posts are moderated
Related Questions
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

A DRUG MANUFACTURER produces 2 products X1 and X2.X1 needs 2 hours on machine A AND 2 HOURS ON MACHINE B.X2 needs 3 hours on machine A and 1 hour on machine B.If machine A can run

Maps, Atlases and Globes: Maps illustrate the distribution of many things that occur on the surface of the earth. Information is presented by the use of a vast array of symbol

How can you integrate environmental concerns into production systems?

Use  of the Graphs a . It simplifies  the complexities of large numbers  or that of  large mass  of data. In general  graphical  or some  other method or representation  is ad

Sources of Hypothesis Hypothesis  may be developed from  various  sources. Some  of the important  sources are  the  followings: 1. A Hypothesis  Arises from  Intuition

In a business, statistics is used to study the demand and market characteristics of the product or service being sold. In fact, market research


How much does cost for developing a simple model using Simuli 8 software and 2 pages write up (Explaining model). This is for my university assignment. For example last year assig

You are required to investigate and examine aspects of planning and organisational structure for a 'real-life' organisation. This assessment enables you to relate the theories and