If you decide to leave the price the way it is, you can use the prices of the other units to justify holding firm on the price, and not giving anything off. Having the cheapest unit will garner more interest, and may even get you more than asking price if you get enough interest.
You should be able to increase the price if you so choose, if it can go down, it should be able to go up. However, other realtors will likely be able to see the histroy of the price. I could be wrong, but the only way to hide the original price might be to take it off the market, and re-list.
Also consider how much more risk you want to take, if you raise it and don't sell in time, will it void any contracts? Is the original asking price enough? You don't want greed to jeopordize anything.
I'd talk with you realtor, ask her her about all your options, and her recommendation, that is what you are paying her for after all.
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