The following table is a transportation matrix showing the profit ($) per unit realized by shipping from Plant i to Distributor j. The objective is to maximize profit while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 3. Plant 1 Plant 2 Plant 3 Demand Distributor 1 Distributor 2 Distributor 3 Supply 26 10 8 480 20 24 310 15 22 180 440 380 I 21 110 Let = number units shipped from Plant i to Distributor j Solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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C
D
The following table is a transportation matrix showing the profit ($) per unit realized by
shipping from Plant i to Distributor j. The objective is to maximize profit while meeting
the demand placed by each Distributor. There is no shipment between Plant 2 and
Distributor 3.
E
Plant 1
Plant 2
Plant 3
Demand
Distributor 1 Distributor 2 Distributor 3 Supply
26
8
480
20
310
15
180
440
10
24
22
380 I
21
110
C
G
Let i;= number units shipped from Plant i to Distributor j
Solve the transportation problem and use the result to fill the boxes
below.
All answers are equally weighted.
Transcribed Image Text:C D The following table is a transportation matrix showing the profit ($) per unit realized by shipping from Plant i to Distributor j. The objective is to maximize profit while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 3. E Plant 1 Plant 2 Plant 3 Demand Distributor 1 Distributor 2 Distributor 3 Supply 26 8 480 20 310 15 180 440 10 24 22 380 I 21 110 C G Let i;= number units shipped from Plant i to Distributor j Solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted.
X
EU
THITE
888
8 #11 11
€
All answers are equally weighted.
Pri
Ter
a) At optimal solution:
21 = 5
31= 0
X
X
Slack at Plant 2 = 0
Slack at Plant 1 = 480
Slack at Plant 3 = 0
*12=
Maximum Profit = $
X22
132
x units
units
units
0
b) At optimal solution, how much unused capacity is available at each Plant?
Question Help: Message instructor
Submit Question
13 =
123
A
233
Enter an integer or decimal number [more]
0
11
0
180
Transcribed Image Text:X EU THITE 888 8 #11 11 € All answers are equally weighted. Pri Ter a) At optimal solution: 21 = 5 31= 0 X X Slack at Plant 2 = 0 Slack at Plant 1 = 480 Slack at Plant 3 = 0 *12= Maximum Profit = $ X22 132 x units units units 0 b) At optimal solution, how much unused capacity is available at each Plant? Question Help: Message instructor Submit Question 13 = 123 A 233 Enter an integer or decimal number [more] 0 11 0 180
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