The three blood banks in Franklin County are coordinated through a central office that facilitates blood delivery to four hospitals in the region. The cost to ship a standard container of blood from each bank to each hospital is shown in the table below. Also given are the biweekly number of containers available at each bank and the biweekly number of containers of blood needed at each hospital. How many shipments should be made biweekly from each blood bank to each hospital so that total shipment costs are minimized?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 7P
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The three blood banks in Franklin County are coordinated through a central office that facilitates blood delivery to four hospitals in the region. The cost to ship a standard container of blood from each bank to each hospital is shown in the table below. Also given are the biweekly number of containers available at each bank and the biweekly number of containers of blood needed at each hospital. How many shipments should be made biweekly from each blood bank to each hospital so that total shipment costs are minimized?
Blood
Bank
Bank 1
Bank 2
Bank 3
Hospital
I
II
III
Demand
H1
1
8
12
14
90
H2
2
9
70
7
10
H3
3
11
5
6
40
H4
4
16
8
7
50
Supply
50
80
120
250
Transcribed Image Text:Blood Bank Bank 1 Bank 2 Bank 3 Hospital I II III Demand H1 1 8 12 14 90 H2 2 9 70 7 10 H3 3 11 5 6 40 H4 4 16 8 7 50 Supply 50 80 120 250
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