As soon as the shutdown was announced, the NPS (National Park Sevice) went into action. In Washington DC, they closed up the open air memorials, but not all of them. Only the most popular ones. They closed national parks all across the country, cut off the Atlantic Ocean and private businesses. They furloughed 800,000 civilian employees and generally inflicted as much pain on the American people as possible.
The Washingtons was able to get one park ranger to give them a quote on the instructions they were given, "We've been told to make life as difficult for people as we can. It's disgusting."
Within days 350,000 of the 800,000 furloughed employees are back at work.
The object of closing anything down is to save money. But add the cost of the signs (which they conveniently had the very first day) the barrycades and the guards and it cost much more to close a park or a memorial than to keep it open. The House plans to investigate the NPS.
Obama is now rolling back cuts that he made earlier as the pressure on him mounts to explain the park closures and shutting down private businesses.