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

Calculus, Ask questioA mass on a spring vibrates. Its position at time t fr...

Ask questioA mass on a spring vibrates. Its position at time t from its starting point is x(t) = 2 cos(t) e t Find the velocity and acceleration at time t. What is the behavior of

Matlab, i have a wav file which consists of a number of hammer impact noise...

i have a wav file which consists of a number of hammer impact noises. i want to break up each impact into and individual wav file. i want to ignore the first 40ms of the impact and

Draw parallel lines with slope, Draw parallel lines with slope +1.05; one p...

Draw parallel lines with slope +1.05; one passes through (0,a), and the other passes through (0,b). Suppose φ is a harmonic function between the two lines, with φ = 0 on the line t

Numerical integration, There are many situations which call for the replace...

There are many situations which call for the replacement of an integral by a sum, or vice versa. In the former case the highest accuracy is sometimes required. This means that in t

All.., Ask question #Minimum 100thank you words accepted#

Ask question #Minimum 100thank you words accepted#

Describe basic fourier theory, An experiment conducted over time T necessar...

An experiment conducted over time T necessarily produces a windowed view of the phenomenon generating the data. It is a useful strategy to regard the windowed data as one period of

Estimate lowest and highest byte memory, What are the lowest and highest a...

What are the lowest and highest addresses in a 2 20 byte memory in which a four-byte word is the smallest addressable unit?

First order system, As with the first order system, there is a general diff...

As with the first order system, there is a general differential equation that governs the response of a second order system.  The equation is of the form: Where: So

Explain how conduction takes place in semiconductors, With the help of ener...

With the help of energy bands explain how conduction takes place in semiconductors. Semiconductors: Substances as carbon, germanium and silicon that electrical conductivity l

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