a 16 x 11 morning room price could vary a LOT depending on materials, finishes and woodwork and detailing. The cheapest would be to buy a prefabricated sunroom, which should start at about $7,000 plus installation. http://www.patioman.com and go on up to http://www.fourseasonssunrooms.com You need to check your current slab though. If you load your slab with a building and it is too thin or there is inadequate thickness/footing under the walls, your slab could crack and require replacement. I regularly see price per square foot for new home construction at $100+/s.f., which could make your morning room $17,500. If it were me, I'd set a preliminary budget and talk to contractors and prefab sunroom manufacturers. If you appreciate an answer, please give "thumbs up". For the most helpful answer, please say thanks with a "best answer" click.
Call Kola Construction or Tom Pruitt Builders or Centaur Construction. You can get their phone numbers with google. For a rough estimate, I suggest including photos with your email. The addition cost will depend on materials used and the design.
Congratulations on your decision to purchase a home!
Kathleen Turner, ABR, CRS, ePro
The Kathleen Turner Realty Group
Also, we are Realtors, not Contractors.
Please search for General Contractors or Remodeling Contractors.
Anything we tell you will be guess-work and useless.
Good luck and may God bless