User Account

All Pages

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

PHOENICS, EXPERT EPERIENCE PHOENICS SOFTWARE

EXPERT EPERIENCE PHOENICS SOFTWARE

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

Simlple annuities and its application, analyn bought a dining set.She paid ...

analyn bought a dining set.She paid 2500 as a downpayment and promised to pay 800 @ the end of each month for year.What s the cash eqivalent of the set if the interest rate is 10%

Vector, prove that A=3i+j-2k ,B= -i+3j+4k, C=4i-2j-6k can form a triangle a...

prove that A=3i+j-2k ,B= -i+3j+4k, C=4i-2j-6k can form a triangle and find the length of the medians of the triangle.

Accurately measure the fluid level, You are working as an engineer on a pro...

You are working as an engineer on a project that involved being able to accurately measure the fluid level change in a large outdoor holding tank. The fluid level rises and falls a

Modelling equations, model an equation to determine the amount of oil in a...

model an equation to determine the amount of oil in a reservior

You are required to design an air-conditioner controller for, Below are the...

Below are the conditions specified by the institution: a) If the temperature sensor shows 30 degree Celsius or higher, the air-conditioner will be turned ON regardless of the othe

Convolution, can you tell me what is the physical intrepetation of convolut...

can you tell me what is the physical intrepetation of convolution theorm or convolution integral?

Mechanics, elongation of conical bar under its own weight is what fraction ...

elongation of conical bar under its own weight is what fraction of rectangular bar

Estimate the time constant and maximum vertical acceleration, The vertical ...

The vertical motion of a general aviation airplane subjected to a sharp-edged wind gust is described by the equation Δw(t) = A g (1-e -t/τ ) assume A g = 30 where Δ w is in

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd