The plant engineer for the Bitco manufacturing plant is designing an overhead conveyor system that will connect the distribution/inventory center to all areas of the plant. The network of possible conveyor routes through the plant, with the length (in feet) along each branch, follows:

Determine the shortest conveyor route from the distribution/inventory center at node 1 to each of the other six areas of theplant.

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120 160 2 5 7 80 50 210 140 190 40 130 3 50 6