homework help

Assumptions of Transportation Model

Personalized homework help for all major subjects.

Order confidently with our risk free, 14-day money-back guarantee.

  • ✔️ No sign-up required
  • | 🔒 100% Confidential

Our Expert Writers

We proudly boast a team of expert professionals with verified academic credentials, selected for their proven skills and flexibility through a strict process.

Engage with experts from the top universities across the globe.

Get Homework Help Instantly

Say goodbye to homework stress! 📚 Just share your details and we’ll whip up an affordable quote in no time – often within 15 minutes.

Get started now for FREE!

Submit Your Homework

Let our experts help you with your college homework

There are some underlying assumptions extracted from the transportation model:

Availability of the commodity: if the supply of the numerous sources is equal then it is called a balanced problem, and if it is more than the total demand of the destinations then it has to be balanced.

i.e.    i=1ʃmai = j=1ʃn bi

  1. Transportation of commodity/terms: the model assumes that the commodities are being transported from the source to the destination very conveniently.
  2. The certainty of per unit transportation cost: obviously there is some transportation cost between the sources and destination.
  3. Independent per cost unit: per cost unit does not depend on the quantity being transported from source to destination.
  4. A number of units being transportedare proportional to the transportation cost of any route.
  5. The objective is to minimise the transportation cost for transporting commodities between two places.

Example 5.1

A car manufacturing company has factories at places A, B and C. the cars have to reach destinations at cities X and Y. the capacity of the factories during the next quarter is 1000, 1500 and 1200 cars. The quarterly demand of the two cities X and Y 2300 and 1400 cars if transported by train then the per car transportation cost per km is Rs. 8.

Here is the chart showing the distance between the factory and destination.

X                                                           Y

1000                                                 2690

1250                                                  1350

1275                                                   850

Now calculate how many cars should be transported from which factory to which destination to minimise the cost?

Solution:

Step I:The market distance and the cost of transportation per km are given to us, and that must be converted into costs.

                                                  X                                                     Y

A                                             2000                                              5380

B                                             2500                                               2700

C                                              2550                                               1770

Let us assume Xijas the number of cars that are transported from factories to the destination cities. Since the total supply (1000+1500+1200=3700) happens to equal the total demand (2300+1400=3700). Thus the transportation model is balanced.

                                                             X                                         Y                                Supply

                                    A                      X11                                                         X12                                           1000

Source                        B                      X21                                                         X22                                            1500

                                    C                       X31                                                        X32                                             1200

                             Demand               2300                                  1400                            3700

Step II: minimize the transportation cost between the source and destination

I.e. Z = 2000 X11 + 5380 X12 + 2500 X21 + 2700 X22 + 2550 X31 + 1700 X32

In general, if C is the unit cost of transportation from ith source to jth destination, the objective is

Minimizei=1ʃ mj=1ʃn Cij Xij

Step III. Constraints

(a) Availability or supply of cars

X11 + X12 = 1000 (Source A)

X21 + X22 = 1500 (Source B)

X31 + X32 = 1200 (Source C)

As we have three factories hence there are three constraints.

(b) Demand of cars at the destination

X11 + X21 + X31 = 2300 (Destination center X)

X12 + X22 + X32 = 1400 (Destination center Y)

In this problem there are (m × n) variables i.e. (3 × 2= 6) variables and (m + n) constraints which is (3+2=6).

So from all the above steps it is evident enough that the objective function and constraint equations are linear as a result it can be solved by LPP or simplex method. But 6 variables or even more (in real life) will take a lot of time for the calculations. Therefore a computer aid is required. A point to remember is the simplex method best applicable for maximising the problems, but our motive is minimising the objective function.

SOLUTION OF THE TRANSPORTATION MODEL

Step I: Create a transportation model

Distribution centers

                                                              X                                         Y                supply

                              A                        Rs.2000

Factories                                       X11= 1000                           Rs= 5380                        1000

                              B                         Rs.2500                             Rs. 2700

                                                         X21=1300                            X22=1400                    +1500

                              C                        Rs. 2550                               Rs. 1700                         +1200

                        Demand                    2300                                     +1400                           =3700

 

The above problem is thus balanced and when it is not so then a dummy source is createdto balance the demand and supply.

Step II: finding a basic feasible solution

There are many methods to determine the possible basicmethod. Out of the many methods, ‘north-west corner rule’ Dantzig is one.

Links of Previous Main Topic:-

Links of Next Finance Topics:-

Your Price: $11.00 $10.00

Pricing may change based on requirements

Descriptive text for the image

Get Homework Help In

Maths and Statistics

Science

Humanities & Arts

l

Essay Writing

How Our Homework Service Works

FAQ number 1

Share your requirements

FAQ number 2

Make secure payment

FAQ number 3

Get homework answers

FAQ - Frequently Asked Questions

Discover quick answers in our FAQ, covering the most common customer questions about our homework help service.

Is your homework service confidential?

M
L

Absolutely! Confidentiality is one of the basic guarantees of our service at MyHomeworkHelp.com.

When our customers make their homework orders, they know their information remains 100% confidential.

Even your homework writer will not be provided with your personal details. So, when you hire a professional homework helper on our website, rest assured that your information will remain private and safe.

For a comprehensive understanding of how we protect your privacy, please refer to our Privacy Policy.

Who will help me with my homework?

M
L

We work with subject experts from all over the world. We hire them with the help of complex tests in the disciplines of their expertise. We also verify the IDs and academic transcripts of our homework writers to be sure that our experts have a bachelor's or master’s or a PhD degree. This is how we can be sure of the proficiency of our panel of experts who will help you with your homework.

Is it legal to ask for help with homework?

M
L

Seeking homework help is perfectly fine and shows your proactive approach to overcoming challenges. But it's important to use our homework service to enhance your understanding, not to replace your own efforts.

Our homework service offers original solutions for personal use, including:

  • Generating ideas or arguments for your research.
  • Deepening your subject comprehension.
  • Direct citation, with proper referencing.

However, it's crucial to avoid plagiarism by not submitting our work as your own. Make sure to check your institution's academic integrity policies before using our services. Our goal is to support your educational journey in a responsible and beneficial way. Refer our honor code for more details.

Is myhomeworkhelp.com legit?

M
L

Yes, myhomeworkhelp.com is completely legitimate. We've been successfully connecting students with top experts worldwide since 2012, offering direct, secure communication for a seamless learning experience. With over thousands of students helped and a commitment to innovative, effective education tools, we're dedicated to making learning easier and more accessible for everyone.

You can read our reviews here on Trustpilot and Sitejabber (Independent, verified reviews from buying customers) like you!

Is there a possibility of plagiarism in my completed order?

M
L

Unlike our competitors who use cheap and ineffective in -house plagiarism software, MyHomeworkHelp.com uses credible software to check your homework solution originality. We guarantee that your paper will pass TurnItIn checks with a low percentage of similarity. In addition, we also check submitted papers for ai-content using Originality.ai.

You will receive a complemantary plagiarism free report with your completed order.

What makes you one of the best homework help website?

M
L

We are not number 1 (yet!). We're an independent, bootstrapped business standing up to Big EdTech for last 12 years. So it means a lot that folks like you are willing to consider our services for your educational needs.

Myhomework Help is recognized as one of the premier websites for homework answers for three key reasons.

  1. Firstly, we pride ourselves on the expertise and qualifications of our tutors/experts, who are selected through a rigorous vetting process to ensure they can provide best academic assistance across a wide range of subjects.
  2. Secondly, our response time to student inquiries is fast (as early as few minutes), reflecting our understanding of the importance of timely support in an academic setting.
  3. Lastly, we keep our pricing very student friendly. Our aim is to provide the best learning experience to students like yourself without burning a hole in your pockets.