Question: 66. The MidSouth Trucking Company based in Nashville has eight trucks located throughout the East and Midwest that have delivered their loads and are


66. The MidSouth Trucking Company based in Nashville has eight trucks located

66. The MidSouth Trucking Company based in Nashville has eight trucks located throughout the East and Midwest that have delivered their loads and are available for shipments. Through their Inter- net logistics site MidSouth has received shipping requests from 12 customers. The following table shows the mileage for a truck to travel to a customer location, pick up the load, and deliver it. Truck A B C D E F G H | J K L 1 500 730 620 410 550 600 390 480 670 710 440 590 2 900 570 820 770 910 660 650 780 840 950 590 670 3 630 660 750 540 680 750 810 560 710 1200 490 650 4 870 1200 810 670 710 820 1200 5 950 910 740 810 630 590 6 1100 860 800 590 570 550 7 8 610 710 560 690 910 550 810 730 660 640 720 670 630 700 930 650 840 780 610 1300 840 550 790 910 720 850 760 580 630 830 690 880 1000 710 680 900 540 620 930 460 560 Determine the optimal assignment of trucks to customers that will minimize the total mileage. 67. In Problem 66, assume that the customers have the following truck capacity percentage loads: Customer A B C D E F G H | J K L Capacity 89 78 94 82 90 83 88 79 71 96 78 85 Determine the optimal assignment of trucks to customers that will minimize total mileage while also achieving at least an average truck load capacity of 85%. Does this load capacity require- ment significantly increase the total mileage?

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