The Transportation Model
CHAPTER 8S
THE TRANSPORTATION MODEL
PROBLEMS
P1.
A firm has four factories, # 1, 2, 3, 4, which ship their output to two warehouses, A and B. The
capacities of the factories for one month, the requirements of the warehouses for one month, and
the costs of shipping one unit from each factory to each warehouse in dollars are given below.
Factory
Capacity
Warehouse
Requirements
(Rows)
(units)
(Columns)
(units)
1
250
A
600
2
400
B
_700
3
450
Total
1,300
4
350
Total
1,450
To:
A
B
1
$12
$10
From
2
14
11
3
9
12
4
8
7
a.
Set up the transportation matrix.
b.
What type of dummy constraint is required?
c.
How many units are in the dummy constraint?
d.
What is the objective function?
e.
What are the constraints?
P2.
Solve Problem P1 by using an EXCEL spreadsheet.
a.
How do you enter the problem on the EXCEL spreadsheet?
b.
How do you enter the objective function?
c.
How do you enter the constraints?
d.
What is the solution?
e.
What is the total cost?
f.
What is the interpretation of the 150 dummy units?
P3.
A firm has two factories, # 1 and 2, which ship their output to four warehouses, A, B, C, D. The
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 WILLIAMCOSGROVE
 Constraint satisfaction, Nagarjuna

Click to edit the document details