Using Excel Solver Question
Question 1
| Allied Freight data | |||||||
| Input data | |||||||
| Unit shipping costs | |||||||
| To | |||||||
| Customer 1 | Customer 2 | Customer 3 | |||||
| From | Warehouse 1 | $15 | $35 | $25 | |||
| Warehouse 2 | $10 | $30 | $40 | ||||
| Shipping plan, and constrain on demand and supply | |||||||
| Unit shipping costs | To | ||||||
| Region 1 | Region 2 | Region 3 | Total shipped | Capacity | |||
| From | Warehouse 1 | 10 | 0 | 30 | 40 | 40 | |
| Warehouse 2 | 20 | 10 | 0 | 30 | 30 | ||
| Total received | 30 | 10 | 30 | ||||
| Demand | 30 | 30 | 30 | ||||
| Penalty for unmet demand | |||||||
| Customer 1 | Customer 2 | Customer 3 | |||||
| For each unit | $90 | $80 | $110 | ||||
| Unmet demand | 0 | 20 | 0 | ||||
| Total Penalty | $ 1,600.00 | ||||||
| Objective to maximize | |||||||
| Total cost | $ 3,000.00 | ||||||
Question 2
| Distances between cities | ||||||||||||||||||||
| Boston | Chicago | Dallas | Denver | Los Angeles | Miami | New York | Phoenix | Pittsburgh | San Francisco | Seattle | ||||||||||
| Boston | 0 | 983 | 1815 | 1991 | 3036 | 1539 | 213 | 2664 | 792 | 2385 | 2612 | |||||||||
| Chicago | 983 | 0 | 1205 | 1050 | 2112 | 1390 | 840 | 1729 | 457 | 2212 | 2052 | |||||||||
| Dallas | 1815 | 1205 | 0 | 801 | 1425 | 1332 | 1604 | 1027 | 1237 | 1765 | 2404 | |||||||||
| Denver | 1991 | 1050 | 801 | 0 | 1174 | 2041 | 1780 | 836 | 1411 | 1765 | 1373 | |||||||||
| Los Angeles | 3036 | 2112 | 1425 | 1174 | 0 | 2757 | 2825 | 398 | 2456 | 403 | 1909 | |||||||||
| Miami | 1539 | 1390 | 1332 | 2041 | 2757 | 0 | 1258 | 2359 | 1250 | 3097 | 3389 | |||||||||
| New York | 213 | 840 | 1604 | 1780 | 2825 | 1258 | 0 | 2442 | 386 | 3036 | 2900 | |||||||||
| Phoenix | 2664 | 1729 | 1027 | 836 | 398 | 2359 | 2442 | 0 | 2073 | 800 | 1482 | |||||||||
| Pittsburgh | 792 | 457 | 1237 | 1411 | 2456 | 1250 | 386 | 2073 | 0 | 2653 | 2517 | |||||||||
| San Francisco | 2385 | 2212 | 1765 | 1765 | 403 | 3097 | 3036 | 800 | 2653 | 0 | 817 | |||||||||
| Seattle | 2612 | 2052 | 2404 | 1373 | 1909 | 3389 | 2900 | 1482 | 2517 | 817 | 0 | |||||||||
| Locations of service centers | ||||||||||||||||||||
| Boston | Chicago | Dallas | Denver | Los Angeles | Miami | New York | Phoenix | Pittsburgh | San Francisco | Seattle | Service centers | Required centers | ||||||||
| Include service center | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 3 | = | 3 |