a) Describe how this problem can be adapted to the general format of assignment problems. b) Obtain an optimal solution using Excel Solver step by step

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Four cargo ships must be used to transport goods from one port to four other ports (numbered 1, 2, 3, and 4). Any boat can be used to make any of the four trips. However, given some differences between ships and cargoes, the total cost of loading, transporting, and unloading goods from different combinations of ships and ports varies considerably. These costs are shown in the following table:

The goal is to assign ships to ports in a one-to-one correspondence so that the total cost of the four shipments is minimized.

a) Describe how this problem can be adapted to the general format of assignment problems.

b) Obtain an optimal solution using Excel Solver step by step

Ship
1 $
2 $
3 $
4 $
1
500 $
600 $
700 $
500 $
Port
2
400 $
600 $
500 $
3
600
$
700 $
700
$
400 $ 600
$
700
500
600
600
Transcribed Image Text:Ship 1 $ 2 $ 3 $ 4 $ 1 500 $ 600 $ 700 $ 500 $ Port 2 400 $ 600 $ 500 $ 3 600 $ 700 $ 700 $ 400 $ 600 $ 700 500 600 600
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