Cities ship products to other cities. There are distances between cities as shown in the first table. There are also supply and demand of products, shown in units, between cities as shown in the second table. There is also a cost per mile distance between cities. What is the minimum shipping cost for the following: • Use only the cities of Austin, El Paso, Topeka, Little Rock, New Orleans • Use a cost per mile of $0.47 per unit shipped Table of Distance - Assume transitive equivalence between cities (Dallas to Ft Worth is the same distance as Ft Worth to Dallas Ft Worth 32 Distance Dallas Dallas Ft Worth Ok City Shreveport Houston Austin El Paso Topeka Little Rock Ok City 205 188 200 222 391 ΕΙ Little Shreveport Houston Austin Paso Rock 195 635 495 319 190 604 490 351 388 721 294 339 335 823 566 213 165 745 735 435 577 678 514 883 953 480 239 262 445 240 Unit Supply and Demand Austin can supply 110 units and demands 140 units El Paso can supply 110 units and demands 100 units Topeka can supply 95 units and demands 60 units Little Rock can supply 75 units and demands 160 units Now Orleans can supply 110 units and demands 10 Topeka New Orleans 505 540 709 327 348 511 1092 903 427

Cities ship products to other cities. There are distances between cities as shown in the first table. There are also supply and demand of products, shown in units, between cities as shown in the second table. There is also a cost per mile distance between cities. What is the minimum shipping cost for the following: • Use only the cities of Austin, El Paso, Topeka, Little Rock, New Orleans • Use a cost per mile of $0.47 per unit shipped Table of Distance - Assume transitive equivalence between cities (Dallas to Ft Worth is the same distance as Ft Worth to Dallas Ft Worth 32 Distance Dallas Dallas Ft Worth Ok City Shreveport Houston Austin El Paso Topeka Little Rock Ok City 205 188 200 222 391 ΕΙ Little Shreveport Houston Austin Paso Rock 195 635 495 319 190 604 490 351 388 721 294 339 335 823 566 213 165 745 735 435 577 678 514 883 953 480 239 262 445 240 Unit Supply and Demand Austin can supply 110 units and demands 140 units El Paso can supply 110 units and demands 100 units Topeka can supply 95 units and demands 60 units Little Rock can supply 75 units and demands 160 units Now Orleans can supply 110 units and demands 10 Topeka New Orleans 505 540 709 327 348 511 1092 903 427

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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Question

Could I get some help with this?

Cities ship products to other cities. There are distances between cities as shown in the first table.
There are also supply and demand of products, shown in units, between cities as shown in the
second table. There is also a cost per mile distance between cities.
What is the minimum shipping cost for the following:
• Use only the cities of Austin, El Paso, Topeka, Little Rock, New Orleans
• Use a cost per mile of $0.47 per unit shipped
Table of Distance - Assume transitive equivalence between cities (Dallas to Ft Worth is the same
distance as Ft Worth to Dallas
Distance Dallas
Dallas
Ft Worth
Ok City
Shreveport
Houston
Austin
El Paso
Topeka
Little Rock
Ft
Worth
32
Ok
City
205 188
200 222
391
.
El
Paso
239 195 635
262
445
240
Unit Supply and Demand
Austin can supply 110 units and demands 140 units
El Paso can supply 110 units and demands 100 units
Topeka can supply 95 units and demands 60 units
Little Rock can supply 75 units and demands 160 units
New Orleans can supply 110 units and demands 40
Little
Rock
495 319
190 604 490 351
388
721
294
339
335 823 566
213
165
745
735 435
577
678
514
883
953
480
Shreveport Houston Austin
Other rules:
• Cities are NOT ALLOWED to ship to themselves
Shipments must be integers, no decimals
Topeka
New
Orleans
505
540
709
327
348
511
1092
903
427

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