Path 1 has the lowest metric.

1) Determine the lowest bandwidth for each path

The bandwidths on the links on path 1 are Serial 1 => 1544, Serial 2 => 512, Ethernet 2 => 100000, and Ethernet 3 => 100000. The lowest value is 512.

The bandwidths on the links on path 2 are Ethernet 1 => 10000, Serial 3 => 1544, Serial 4 => 128, and Ethernet 3 => 100000. The lowest value is 128.

2) Determine the cumulative delay for each path

The delays on the links on path 1 are Serial 1 => 5000, Serial 2 => 5000, Ethernet 2 => 100, and Ethernet 3 => 100. The lowest value is 10200.

The delays on the links on path 2 are Ethernet 1 => 1000, Serial 3 => 4000, Serial 4 => 2000, and Ethernet 3 => 100. The lowest value is 7100.

3) Calculate the metric for each path

Path 1

metric = (10000000/bandwidth + delay) * 256

metric = (10000000/512 + 10200) * 256

metric = (19531 + 10200) * 256

metric = 29731 * 256

metric = 7611136

Path 2

metric = (10000000/bandwidth + delay) * 256

metric = (10000000/128 + 7100) * 256

metric = (78125 + 7100) * 256

metric = 85225 * 256

metric = 21817600