I would like to know the cheapest way from airport to Xian Qimei Business Hotel (60 West Qujiangchi Road).

I suggest you to take the airport shuttle bus line 1 to reach the terminal at Melody Hotel and then change a taxi to your hotel directly. From Melody Hotel to your hotel, there is around 10km. This may be the cheapest method.

The taxis are charged by meters. If you do not want to be charged by meter, I heard you can pay around 120RMB for city proper area and around 200RMB for Wild Goose Pagoda area. Your hotel is in the Wild Goose Pagoda area, so the taxi fare is around 200RMB if charged by a fixed price.