Question: By using microsoft excel and the solver ad in tool solve the question below: Recent graduate and amateur world traveler Jan Himburg is planning a
By using microsoft excel and the solver ad in tool solve the question below:
Recent graduate and amateur world traveler Jan Himburg is planning a European trip. His preferences are influenced by his curiosity about urban culture in Europe and by his extensive study of international relations while in school. Accordingly, he has decided to make one stop in each of 12 European capitals in the time he has available. He wants to find a sequence of the cities that involves the least total mileage. He has calculated inter-city distances using published data on latitude and longitude, and applying the geometry for arcs of great circles. These distances are shown below.
| Ams | Ath | Ber | Brus | To Cope | Dub | Lis | Lon | Lux | Mad | Par | Rom | ||
| Amsterdam | 2166 | 577 | 175 | 622 | 712 | 1889 | 339 | 319 | 1462 | 430 | 1297 | ||
| Athens | 2166 | 1806 | 2092 | 2132 | 2817 | 2899 | 2377 | 1905 | 2313 | 2100 | 1053 | ||
| Berlin | 577 | 1806 | 653 | 348 | 1273 | 2345 | 912 | 598 | 1836 | 878 | 1184 | ||
| Brussels | 175 | 2092 | 653 | 768 | 732 | 1738 | 300 | 190 | 1293 | 262 | 1173 | ||
| Copenhagen | 622 | 2132 | 348 | 768 | 1203 | 2505 | 942 | 797 | 2046 | 1027 | 1527 | ||
| From | Dublin | 712 | 2817 | 1273 | 732 | 1203 | 1656 | 440 | 914 | 1452 | 743 | 1849 | |
| Lisbon | 1889 | 2899 | 2345 | 1738 | 2505 | 1656 | 1616 | 1747 | 600 | 1482 | 1907 | ||
| London | 339 | 2377 | 912 | 300 | 942 | 440 | 1616 | 475 | 1259 | 331 | 1419 | ||
| Luxembourg | 319 | 1905 | 598 | 190 | 797 | 914 | 1747 | 475 | 1254 | 293 | 987 | ||
| Madrid | 1462 | 2313 | 1836 | 1293 | 2046 | 1452 | 600 | 1259 | 1254 | 1033 | 1308 | ||
| Paris | 430 | 2100 | 878 | 262 | 1027 | 743 | 1482 | 331 | 293 | 1033 | 1108 | ||
| Rome | 1297 | 1053 | 1184 | 1173 | 1527 | 1849 | 1907 | 1419 | 987 | 1308 | 1108 |
1.) Find a minimum distance tour for Jan, starting and ending in Brussels.
2.) What is the length of the optimal tour?
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