Table 3. Cumulative utility-distance products of goods for Villages (i
{1, 2}).
| Goods assigned to Village 1 | Goods assigned to Village 2 | |||||||
| Iron | Salt | Steel | Wine | Mineral | Cattle | Oil | Gas | Coal |
| x = 6 | x = 5 | x = 7 | x = 8 | x = 3 | x = 2 | x = 4 | x = 9 | x = 1 |
a
1 = 
|
a
2 = a
1+
|
a
3 = a
2+
|
a
4 = a
3+
|
a
5 = a
4+
|
a
6 = a
5+
|
a
7 = a
6+
|
a
8 = a
7+
|
a
9 = a
8+
|
| 0.909 | 1.709 | 2.509 | 4.009 | 4.676 | 5.676 | 6.676 | 7.676 | 9.009 |
b
9 = b
8+
|
b
8 = b
7+
|
b
7 = b
6+
|
b
6 = b
5+
|
b
5 = b
4+
|
b
4 = b
3+
|
b
3 = b
2+
|
b
2 = b
1+
|
b
1 = 
|
| 9.008 | 8.099 | 7.299 | 6.499 | 4.999 | 4.332 | 3.332 | 2.332 | 1.332 |