# Linear programming model excel solution module 5 p5 18 p5 26 p5 30

Problem 5-18 (a)
5-18 A food distribution company ships fresh spinach
from its four packing plants to large East-coast cities.
The shipping costs per crate, the supply and demand
(a) Formulate a model that will permit the company
to meet its demand at the lowest possible cost.
(b) The company wishes to spread out the source for
each of its markets to the maximum extent possible.
To accomplish this, it will accept a 5% increase in
its total transportation cost from part (a). What is the
new transportation plan, and what is the new cost?
Shipments: To Flow balance equations
From Atlanta Boston Charlestown Dover Flow out Location Flow in Flow out Net flow Sign RHS
Eaglestown Eaglestown = -8000
Farrier Farrier = -10000
Guyton Guyton = -5000
Hayesville Hayesville = -9000
Flow in Atlanta = 8000
Boston = 9000
Unit costs: To Charlestown = 10000
From Atlanta Boston Charlestown Dover Dover = 5000
Eaglestown \$6.0 \$7.0 \$7.5 \$7.5
Farrier \$5.5 \$5.5 \$4.0 \$7.0
Guyton \$6.0 \$5.0 \$6.5 \$7.0
Hayesville \$7.0 \$7.5 \$8.5 \$6.5

Total cost =

Problem 5-18 (b)
5-18 A food distribution company ships fresh spinach
from its four packing plants to large East-coast cities.
The shipping costs per crate, the supply and demand
(a) Formulate a model that will permit the company
to meet its demand at the lowest possible cost.
(b) The company wishes to spread out the source for
each of its markets to the maximum extent possible.
To accomplish this, it will accept a 5% increase in
its total transportation cost from part (a). What is the
new transportation plan, and what is the new cost?

Shipments: To Flow balance equations
From Atlanta Boston Charlestown Dover Flow out Location Flow in Flow out Net flow Sign RHS
Eaglestown Eaglestown = -8000
Farrier Farrier = -10000
Guyton Guyton = -5000
Hayesville Hayesville = -9000
Flow in Atlanta = 8000
Boston = 9000
Unit costs: To Charlestown = 10000
From Atlanta Boston Charlestown Dover Dover = 5000
Eaglestown \$6.0 \$7.0 \$7.5 \$7.5
Farrier \$5.5 \$5.5 \$4.0 \$7.0 5% Allowable Cost Increase < = 184275 Guyton \$6.0 \$5.0 \$6.5 \$7.0 Hayesville \$7.0 \$7.5 \$8.5 \$6.5 Max ship = Problem P 5-26 LOCATIONS EAST NORTH- EAST SOUTH- EAST CENTRAL Site 1 12 8 9 13 Site 2 10 9 11 10 Site 3 11 12 14 11 Site 4 13 11 12 9 Ambulance Locations Population Centers Flow balance equations East North-East South-East Central Flow out Location Flow in Flow out Net flow Sign RHS Site 1 0.0 0.0 1.0 0.0 1.0 Site 1 0.0 1 -1 = -1 Site 2 0.0 1.0 0.0 0.0 1.0 Site 2 0.0 1 -1 = -1 Site 3 1.0 0.0 0.0 0.0 1.0 Site 3 0.0 1 -1 = -1 Site 4 0.0 0.0 0.0 1.0 1.0 Site 4 0 1 -1 = -1 Flow in 1.0 1.0 1.0 1.0 Site 1 1 1 = 1 Site 2 1 1 = 1 Ambulance Locations Population Centers Site 3 1 1 = 1 East North-East South-East Central Site 4 1 1 = 1 Site 1 12.0 8.0 9.0 13.0 Site 2 10.0 9.0 11.0 10.0 Site 3 11.0 12.0 14.0 11.0 Site 4 13.0 11.0 12.0 9.0 Total Emergency Response Time 38 Problem 5-30 The city of Six Mile, South Carolina, is considering making several of its streets one way. What is the maximum number of cars per hour that can travel from east (node 1) to west (node 8)? The network is shown in Figure 5.20. ……………………………………………………………………………………………. Flows: To Flow balance equations From Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node 7 Node 8 Flow out Node Flow in Flow out Net flow Sign RHS Node 1 Node 1 = 0.0 Node 2 Node 2 = 0.0 Node 3 Node 3 = 0.0 Node 4 Node 4 = 0.0 Node 5 Node 5 = 0.0 Node 6 Node 6 = 0.0 Node 7 Node 7 = 0.0 Node 8 Node 8 = 0.0 Flow in Capacities: To From Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node 7 Node 8 Node 1 0 2 5 1 0 0 0 0 Node 2 0 0 0 0 2 0 0 0 Node 3 0 0 0 0 2 2 0 0 Node 4 1 0 0 0 0 3 0 4 Node 5 0 2 1 0 0 0 2 0 Node 6 0 0 2 0 0 0 0 4 Node 7 0 0 0 0 2 0 0 2 Node 8 1000 0 0 0 0 0 2 0 Max flow =

Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

## Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.