Several oil companies are jointly planning to build an oil pipeline to connect several southwestern, southeastern, and midwestern cities, as shown in the following network: The miles between cities are shown on each branch. Determine a pipeline system that will connect all 10 cities, using the minimum number of miles of pipe, and indicate how many miles of pipe will be used.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Several oil companies are jointly planning to build an oil pipeline to connect several southwestern, southeastern, and midwestern cities, as shown in the following network:

The miles between cities are shown on each branch. Determine a pipeline system that will connect all 10 cities, using the minimum number of miles of pipe, and indicate how many miles of pipe will be used.

Des Moines
Omaha
Indianapolis
120
6
250
3
9.
175
Kansas
450
250
235
Denver
210
City
260
580
St. Louis
320
260
7
490
310
340
400
4
270
10
520
240
Oklahoma
City
Nashville
340
1
750
Albuquerque
Little Rock
Transcribed Image Text:Des Moines Omaha Indianapolis 120 6 250 3 9. 175 Kansas 450 250 235 Denver 210 City 260 580 St. Louis 320 260 7 490 310 340 400 4 270 10 520 240 Oklahoma City Nashville 340 1 750 Albuquerque Little Rock
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