Linear Programming, Engineering Mathematics

Assignment Help:
A company manufactures an assembly consisting of a frame, a shaft, and a ball bearing. The
company manufactures the shafts and frames but purchases the ball bearings from a ball bearing
manufacturer. Each shaft must be processed on a forging machine, a lathe, and a grinder. These
operations require 0.6 hour, 0.3 hour, and 0.4 hour per shaft, respectively. Each frame requires
0.8 hour on a forging machine, 0.2 hour on a drilling machine, 0.3 hour on a milling machine, and
0.6 hour on a grinder. The company has 5 lathes, 10 grinders, 20 forging machines, 3 drillers,
and 6 millers. Assume that each machine operates a maximum of 4500 hours per year. Formulate
the problem of nding the maximum number of assembled components that can be produced as a
linear program.


I have this solution:

Let x1 be the number of shafts that produced,
Let x2 be the number of frames that produced,
Let x3 be the number of ball bearings purchased.

Objective function is: maximize z=min(x1,x2,x3)

Constraints:

0.6 x1 + 0.8 x2 <= 4500 * 20

0.2 x2 <= 4500 * 3

0.3 x2 <= 4500 * 6

0.4 x1 + 0.6 x2 <= 4500 * 10

0.3 x1 <= 4500 * 5

But This is not an LP since it contains min(x1,x2,x3) in the objective function.
How can I make this linear, and Are my equations correct ? Please help me..

Related Discussions:- Linear Programming

MUPAD, I have some work in Mupad i need doing. Its on Diff equations. Canb ...

I have some work in Mupad i need doing. Its on Diff equations. Canb you guys help?

Six years time, A young couple requires RM30000 for an overseas trip which ...

A young couple requires RM30000 for an overseas trip which they want to make in six years time. How much they have to invest now at 18% p.a. compound interest compounded monthly, t

Pooleed sample variance, given sample A : HAS SIZE 6,MEAN 8,VARIANCE 16 AND...

given sample A : HAS SIZE 6,MEAN 8,VARIANCE 16 AND SAMPLE B:has size 10,mean 20 and variance 36 .calculate pooled sample variance

Calculate the sequence from aitken’s method, Values from the iteration x = ...

Values from the iteration x = cos(x) are: x 0 = 0.8, x 1 = 0.696707, x 2 = 0.766959, x 3 = 0.720024, x 4 = 0.751790, x 5 = 0.730468. a) Calculate the sequence {y n } fr

Database management system, outline the three schema database architecture ...

outline the three schema database architecture clearly explaining each level and how the user view the information

Explain the integrated circuits, a. Explain the Integrated Circuits? What a...

a. Explain the Integrated Circuits? What are the benefits of ICs as compared to standard printed circuits? b. Explain in brief, the various steps included in fabrication of ICs.

Provide a derivation, This is a pen and paper exercise, you are expected to...

This is a pen and paper exercise, you are expected to provide a detailed derivation. Follow the procedure outlined in the lectures for construction of a simple averaging by thr

Laplace transform, basic properties on the inverse of laplace transform

basic properties on the inverse of laplace transform

Investigate the output of advertising agencies, In an article in Marketing...

In an article in Marketing Science , Silk and Berndt investigate the output of advertising agencies. They describe ad agency output by finding the shares of dollar billing volume

Hypothesis of this statement , A) For a given integer n, if n   2 is divisi...

A) For a given integer n, if n   2 is divisible by 4, then n2   4 is divisible by 16. State the hypothesis of this sentence and the conclusion. Give a direct proof of the statement

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