University presses work differently than trade publishers. A real university press does not ask you to pay for costs except for permissions. Usually that is negotiable.
University presses rarely pay an advance; they simply cannot afford it. Few books published by university presses have a press run larger than 1,000 books, and most press runs are 500. Exceptions are the major UPs such as Oxford University Press and Princeton University Press.
pdurrant's suggestions are good but are trade publisher oriented and not in line with U.S. university presses. You need to keep in mind that most American UPs are subsidized by their universities, they are not money makers, and consequently the scope of negotiations is rather limited. Generally, agents do not handle UP publications because expected sales are so low.
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