Determine a pipeline system that will connect all 10 cities

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Several oil companies are jointly planning to build an oil pipeline to connect several southwestern and midwestern cities. The miles between cities are shown in the following table:


1 2 3 4 5 6 7 8 9 10
1. Albuquerque
400
520


750

2. Denver 400
450 490





3. Omaha
450
580 210 120



4. Oklahoma City 520 490 580
310

240

5. Kansas City

210 310
175 260 340

6. Des Moines

120
175
250
250
7. St. Louis



260 250
270 235 320
8. Little Rock 750

240 340
270

340
9. Indianapolis




250 235

260
10. Nashville





320 340 260

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.

Reference no: EM13901541

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