You also need to make sure you contact CO with a week's notice or more. They issue the upgrade certificates in PAPER form which means you need to have them with you before you board.
If you need them with less than a week's notice, they'll FedEx them for $35. Ouch!
Yes, you can upgrade one-way for 10K. For full-fare it is only 5K. For Bulk seats, you may be out of luck. I've heard that it is not permitted, but have heard of it being done (see above).
Although I'd be willing to bet that you'd be at the bottom of the ladder.
Call CO when you request your mileage upgrade - if a reward FC seat is available, they can confirm it on the spot providing the fare is eligible.
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