That's sneaky! Sounds to me like you make a proposal, do the legwork/negotiating and present at the meeting - they then follow through, get the savings but don't necessarily employ you!!
Personally, I would contact another recylcling centre [obviously not the one stated] from the yellow pages and be talking to them about about skip disposal, rather than per tyre. You could be looking at larger savings due to bulk and they might want to consider other types of recycling within the same contract/skip. Start with prices for a mini-skip on a monthly pick up/empty/replace contract, then ask for medium [doubt you would need much larger - although taking this as well may cover every option].
Good luck with her interview1