The one doing the sale isn't the company, it's the government overseeing the bankruptcy of the fragment they're handling (the vessel).

As for the input costs, they'd probably (and should) enforce the standard market rate of processing fee.

The idea isn't that the company is bidding on the value of their cargo; it's that the companies FIRST get to declare if they're writing off their cargo or paying whatever their split of the loading fee is (possibly a maximum value they'd claim at) and THEN anything left is sold off (to get rid of it).