QID:NA292 designated port and alternate port

[keebler]

Hello everyone,

i am having a problem understanding one of the answers in QID:NA292. I don?t understand why Port FA0/2 on switch A is Designated and port Gi0/2 on switch B is Alternate. I feel it should be exactly the opposite due to the port cost.

I would appreciate any explanation anyone could offer

thanks
Keebler