Final answer:
The Ice Capades was the touring company bought by Dorothy Hamill in 1993, which unfortunately went out of business in 1997. The correct option is A.
Step-by-step explanation:
The popular touring company that was purchased in 1993 by Dorothy Hamill before going out of business in 1997 is Ice Capades. Dorothy Hamill, an Olympic figure skater, acquired the Ice Capades with hopes of revitalizing it.
Unfortunately, despite her efforts, the company struggled financially and ultimately ceased operations in 1997. The Ice Capades was known for its theatrical performances on ice, featuring figure skaters in various productions and themed shows.