I need help with a linear optimization model for a logistics problem
Locations
| Location | X-Coordinate | Y-Coordinate | Pallets per Day |
| Cambridge, OH | 0 | 0 | N/A |
| Bellaire, OH | 5.8 | -0.3 | 5 |
| Cadiz, OH | 4 | 2.1 | 5 |
| Calcutta, OH | 7.1 | 5.6 | 9 |
| Coshocton, OH | -1.9 | 2.3 | 4 |
| Dover, OH | 0.7 | 4.5 | 6 |
| East Palestine, OH | 7.4 | 7.3 | 10 |
| Lisbon, OH | 5.7 | 6.6 | 8 |
| Mt. Gilead, OH | -8.5 | 4.9 | 9 |
| New Martinsville, WV | 4.7 | -3.6 | 3 |
| Newark, OH | -5.8 | 0.4 | 6 |
| Pataskala, OH | -7.7 | -0.2 | 10 |
| Toronto, OH | 6.8 | 3.9 | 9 |
| Uhrichsville, OH | 1.6 | 3.3 | 5 |
| Weirton, WV | 6.9 | 3.4 | 7 |
| Zanesville, OH | -3.1 | -0.8 | 6 |
Travel Times
| Travel Times (in Min) | Cambridge, OH | Bellaire, OH | Cadiz, OH | Calcutta, OH | Coshocton, OH | Dover, OH | East Palestine, OH | Lisbon, OH | Mt. Gilead, OH | New Martinsville, WV | Newark, OH | Pataskala, OH | Toronto, OH | Uhrichsville, OH | Weirton, WV | Zanesville, OH |
| Cambridge, OH | 0 | |||||||||||||||
| Bellaire, OH | 56 | 0 | ||||||||||||||
| Cadiz, OH | 56 | 46 | 0 | |||||||||||||
| Calcutta, OH | 108 | 70 | 56 | 0 | ||||||||||||
| Coshocton, OH | 47 | 94 | 70 | 119 | 0 | |||||||||||
| Dover, OH | 45 | 88 | 47 | 86 | 46 | 0 | ||||||||||
| East Palestine, OH | 129 | 93 | 79 | 23 | 130 | 90 | 0 | |||||||||
| Lisbon, OH | 106 | 85 | 71 | 18 | 107 | 68 | 24 | 0 | ||||||||
| Mt. Gilead, OH | 119 | 161 | 163 | 153 | 83 | 109 | 152 | 137 | 0 | |||||||
| New Martinsville, WV | 94 | 45 | 82 | 106 | 128 | 125 | 127 | 117 | 198 | 0 | ||||||
| Newark, OH | 62 | 105 | 105 | 154 | 44 | 81 | 165 | 142 | 72 | 142 | 0 | |||||
| Pataskala, OH | 67 | 110 | 115 | 164 | 65 | 101 | 185 | 163 | 63 | 147 | 27 | 0 | ||||
| Toronto, OH | 90 | 52 | 38 | 27 | 104 | 81 | 48 | 38 | 173 | 90 | 140 | 150 | 0 | |||
| Uhrichsville, OH | 43 | 77 | 33 | 82 | 43 | 20 | 100 | 78 | 119 | 114 | 80 | 99 | 65 | 0 | ||
| Weirton, WV | 84 | 46 | 32 | 33 | 98 | 75 | 55 | 44 | 174 | 83 | 134 | 144 | 21 | 60 | 0 | |
| Zanesville, OH | 33 | 75 | 80 | 130 | 48 | 67 | 151 | 129 | 93 | 112 | 37 | 45 | 112 | 65 | 106 | 0 |