Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Ex 3.31

3.
2.
Chapter 3 Problems 113
A total of 60 forklift trucks are produced and shipped per
week. Each plant can produce and ship any amount up to a maxi-
mum of 50 trucks per week, so there is considerable flexibility
on how to divide the total production between the two plants so
ing
-en-
per
as to reduce shipping costs. However, each distribution center
eive
must receive exactly 20 trucks per week.
Management's objective is to determine how many forklift
trucks should be produced at each plant, and then what the over-
the
all shipping pattern should be to minimize total shipping cost.
Eormulate and solve a spreadsheet model for this problem.
(s
3.31.
Redo Problem 3.30 when any distribution center may
receive any quantity between 10 and 30 forklift trucks per week
in order to further reduce total shipping cost, provided only that
4.
the total shipped to all three distribution centers must still equal
60 trucks per week.
00
3.32.
Read the referenced article that fully describes the man-
agement science study summarized in the application vignette
presented in Section 3.6. Briefly describe how the model for the
assignment problem was applied in this study. Then list the various
financial and nonfinancial benefits that resulted from this study.
006
nile.
of the
3.33.
Consider the assignment problem having the following
n on a
cost table.
tion.
Job
at three
60, 80,
1.
irm has
units to
Person
$5
stomers
$4
as nos-
3.
5.
expand button
Transcribed Image Text:3. 2. Chapter 3 Problems 113 A total of 60 forklift trucks are produced and shipped per week. Each plant can produce and ship any amount up to a maxi- mum of 50 trucks per week, so there is considerable flexibility on how to divide the total production between the two plants so ing -en- per as to reduce shipping costs. However, each distribution center eive must receive exactly 20 trucks per week. Management's objective is to determine how many forklift trucks should be produced at each plant, and then what the over- the all shipping pattern should be to minimize total shipping cost. Eormulate and solve a spreadsheet model for this problem. (s 3.31. Redo Problem 3.30 when any distribution center may receive any quantity between 10 and 30 forklift trucks per week in order to further reduce total shipping cost, provided only that 4. the total shipped to all three distribution centers must still equal 60 trucks per week. 00 3.32. Read the referenced article that fully describes the man- agement science study summarized in the application vignette presented in Section 3.6. Briefly describe how the model for the assignment problem was applied in this study. Then list the various financial and nonfinancial benefits that resulted from this study. 006 nile. of the 3.33. Consider the assignment problem having the following n on a cost table. tion. Job at three 60, 80, 1. irm has units to Person $5 stomers $4 as nos- 3. 5.
3.
produce 60, 80,
and 40 units, respectively, during the next week. The firm has
made a commitment to sell 40 units to customer 1, 60 units to
customer 2, and at least 20 units to customer 3. Both customers
3 and 4 also want to buy as many of the remaining units as pos-
sible. The net profit associated with shipping a unit from plant i
for sale to customer/ is given by the following table.
Customer
to
3.
2.
3.
4.
Plant
on
000
of
2.
tra
3.
009
Management wishes to know how many units to sell to cus-
tomers 3 and 4 and how many units to ship from each of the
plants to each of the customers to maximize profit. Formulate
and solve a spreadsheet model for this problem.
3.30.
The Move-It Company has two plants building forklift
trucks that then are shipped to three distribution centers. The
production costs are the same at the two plants, and the cost of
shipping each truck is shown below for each combination of
plant and distribution center.
3.
4.
TH
Distribution Center
in suc.
1.
2.
Plant
$800
$700
3.35.
B
008
1, 2, an
expand button
Transcribed Image Text:3. produce 60, 80, and 40 units, respectively, during the next week. The firm has made a commitment to sell 40 units to customer 1, 60 units to customer 2, and at least 20 units to customer 3. Both customers 3 and 4 also want to buy as many of the remaining units as pos- sible. The net profit associated with shipping a unit from plant i for sale to customer/ is given by the following table. Customer to 3. 2. 3. 4. Plant on 000 of 2. tra 3. 009 Management wishes to know how many units to sell to cus- tomers 3 and 4 and how many units to ship from each of the plants to each of the customers to maximize profit. Formulate and solve a spreadsheet model for this problem. 3.30. The Move-It Company has two plants building forklift trucks that then are shipped to three distribution centers. The production costs are the same at the two plants, and the cost of shipping each truck is shown below for each combination of plant and distribution center. 3. 4. TH Distribution Center in suc. 1. 2. Plant $800 $700 3.35. B 008 1, 2, an
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