Explanation:
Site 1: 0.4(55) +0.2(20) +0.3(10) +0.1(10) = 34
Site 2: 0.4(20) +0.2(75) +0.3(80) +0.1(50) = 52
Site 3: 0.4(90) +0.2(15) +0.3(85) +0.1(100) = 74.5
Site 4: 0.4(80) +0.2(95) +0.3(20) +0.1(25) = 59.5
Site 5: 0.4(30) +0.2(90) +0.3(25) +0.1(25) = 40
3. Based on the calculations done in the table below, we find that site #6 is the best location based
on the subjective factors.
Location Factors
0.4 0.2 0.3 0.1
Site Number 1 2 3 4 Score
1 90 40 80 70 75
2 100 30 80 50 75
3 50 80 85 60 67.5
4 60 90 60 75 67.5
5 90 30 65 80 69.5
6 90 30 85 85 76
Explanation:
Site 1: 0.4(90) +0.2(40) +0.3(80) +0.1(70) = 75
Site 2: 0.4(100) +0.2(30) +0.3(80) +0.1(50) =75
3
, Created By: A Solution
Site 3: 0.4(50) +0.2(80) +0.3(85) +0.1(60) = 67.5
Site 4: 0.4(60) +0.2(90) +0.3(60) +0.1(75) = 67.5
Site 5: 0.4(90) +0.2(30) +0.3(65) +0.1(80) = 69.5
Site 6: 0.4(90) +0.2(30) +0.3(85) +0.1(85) = 76
4. Based on the calculations done in the table below, we find that site #3 is the best location based
on the subjective factors.
Location Factors
0.15 0.2 0.4 0.25
Site Number 1 2 3 4 Score
1 55 20 10 50 34
2 20 75 80 50 52
3 90 15 85 100 74.5
4 80 95 20 25 59.5
5 30 90 25 25 40
Explanation:
Site 1: 0.15(55) +0.2(20) +0.4(10) +0.25(10) = 18.75
Site 2: 0.15(20) +0.2(75) +0.4(80) +0.25(50) = 62.5
Site 3: 0.15(90) +0.2(15) +0.4(85) +0.25(100) = 75.5
Site 4: 0.15(80) +0.2(95) +0.4(20) +0.25(25) = 46.75
Site 5: 0.15(30) +0.2(90) +0.4(25) +0.25(25) = 38.75
5. We leave it as an exercise for the student to verify the results in Example 3.2 using the TSA.
6. We leave it as an exercise for the student to verify the results in Example 3.3 using a
transportation problem.
7. It is a trivial exercise for the student to verify the results in Example 3.3 using a transportation
problem.
8. Setting up the transportation problem for the two cases, we get the solutions shown below.
Because the site 1 solution has a cost of $56,000 and site 2 a cost of $62,000, we choose site
1.
4
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller ASolution. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $12.99. You're not tied to anything after your purchase.