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

Fourier series, b) State by inspection (i.e. without performing any formal ...

b) State by inspection (i.e. without performing any formal analysis) all you can about each of the periodic waveforms shown in FIGURE 1 in terms of their Fourier series when analys

Optimization, Valid objective function for a LPP with x,y,z as decision var...

Valid objective function for a LPP with x,y,z as decision variables

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?

Beta gamma functions, integral dx/root of sinx using beta and gamma functio...

integral dx/root of sinx using beta and gamma functions

Saving account at birth of their children, Parents put $1000 into a saving ...

Parents put $1000 into a saving account at birth of their children. If the account earns interest at 7% p.a compounded yearly, how much money will be in the account when their chil

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

State the linear regression equation, An auto manufacturing company wanted ...

An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department at the company took a sample of eight cars

Matlab Code for DUAL SLOPE DAC., Hello, i need please Matlab Code for DUAL...

Hello, i need please Matlab Code for DUAL SLOPE DAC. Thanks Marcel

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

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