Solve the following sql problem:
Among the menu pages of "Ritz Carlton", how many of them have a width of over 1000?

Schema:
SCHEMA:
- Table: Dish
  - Column: id
    - Samples: [1, 2, 3, 4, 5]
  - Column: name
    - Samples: [Consomme printaniere royal, Chicken gumbo, Tomato aux croutons, Onion au gratin, St. Emilion]
  - Column: description
    - Samples: [None, None, None, None, None]
  - Column: menus_appeared
    - Samples: [8, 111, 14, 41, 66]
  - Column: times_appeared
    - Samples: [8, 117, 14, 41, 68]
  - Column: first_appeared
    - Samples: [1897, 1895, 1893, 1900, 1881]
  - Column: last_appeared
    - Samples: [1927, 1960, 1917, 1971, 1981]
  - Column: lowest_price
    - Samples: [0.2, 0.1, 0.25, 0.25, 0.0]
  - Column: highest_price
    - Samples: [0.4, 0.8, 0.4, 1.0, 18.0]
- Table: Menu
  - Column: id
    - Samples: [12463, 12464, 12465, 12466, 12467]
  - Column: name
    - Samples: [None, , None, , ]
  - Column: sponsor
    - Samples: [HOTEL EASTMAN, REPUBLICAN HOUSE, NORDDEUTSCHER LLOYD BREMEN, NORDDEUTSCHER LLOYD BREMEN, NORDDEUTSCHER LLOYD BREMEN]
  - Column: event
    - Samples: [BREAKFAST, [DINNER], FRUHSTUCK/BREAKFAST;, LUNCH;, DINNER;]
  - Column: venue
    - Samples: [COMMERCIAL, COMMERCIAL, COMMERCIAL, COMMERCIAL, COMMERCIAL]
  - Column: place
    - Samples: [HOT SPRINGS, AR, MILWAUKEE, [WI];, DAMPFER KAISER WILHELM DER GROSSE;, DAMPFER KAISER WILHELM DER GROSSE;, DAMPFER KAISER WILHELM DER GROSSE;]
  - Column: physical_description
    - Samples: [CARD; 4.75X7.5;, CARD; ILLUS; COL; 7.0X9.0;, CARD; ILLU; COL; 5.5X8.0;, CARD; ILLU; COL; 5.5X8.0;, FOLDER; ILLU; COL; 5.5X7.5;]
  - Column: occasion
    - Samples: [EASTER;, EASTER;, , , ]
  - Column: notes
    - Samples: [, WEDGEWOOD BLUE CARD; WHITE EMBOSSED GREEK KEY BORDER; "EASTER SUNDAY" ..., MENU IN GERMAN AND ENGLISH; ILLUS, STEAMSHIP AND SAILING VESSEL;, MENU IN GERMAN AND ENGLISH; ILLUS, HARBOR SCENE WITH SAILING VESSEL;, MENU IN GERMAN AND ENGLISH; ILLUS, HARBOR SCENE WITH ROCKS AND LIGHTHO... (truncated)]
  - Column: call_number
    - Samples: [1900-2822, 1900-2825, 1900-2827, 1900-2828, 1900-2829]
  - Column: keywords
    - Samples: [None, None, None, None, None]
  - Column: language
    - Samples: [None, None, None, None, None]
  - Column: date
    - Samples: [1900-04-15, 1900-04-15, 1900-04-16, 1900-04-16, 1900-04-16]
  - Column: location
    - Samples: [Hotel Eastman, Republican House, Norddeutscher Lloyd Bremen, Norddeutscher Lloyd Bremen, Norddeutscher Lloyd Bremen]
  - Column: location_type
    - Samples: [None, None, None, None, None]
  - Column: currency
    - Samples: [None, None, None, None, None]
  - Column: currency_symbol
    - Samples: [None, None, None, None, None]
  - Column: status
    - Samples: [complete, complete, complete, complete, complete]
  - Column: page_count
    - Samples: [2, 2, 2, 2, 4]
  - Column: dish_count
    - Samples: [67, 34, 84, 63, 33]
- Table: MenuPage
  - Column: id
    - Samples: [119, 120, 121, 122, 123]
  - Column: menu_id
    - Samples: [12460, 12460, 12460, 12460, 12461]
  - Column: page_number
    - Samples: [1, 2, 3, 4, 1]
  - Column: image_id
    - Samples: [1603595.0, 1603596.0, 1603597.0, 1603598.0, 1603591.0]
  - Column: full_height
    - Samples: [7230, 5428, 7230, 7230, 7230]
  - Column: full_width
    - Samples: [5428, 7230, 5428, 5428, 5428]
  - Column: uuid
    - Samples: [510d47e4-2955-a3d9-e040-e00a18064a99, 510d47e4-2956-a3d9-e040-e00a18064a99, 510d47e4-2957-a3d9-e040-e00a18064a99, 510d47e4-2958-a3d9-e040-e00a18064a99, 510d47e4-2959-a3d9-e040-e00a18064a99]
- Table: MenuItem
  - Column: id
    - Samples: [1, 2, 3, 4, 5]
  - Column: menu_page_id
    - Samples: [1389, 1389, 1389, 1389, 3079]
  - Column: price
    - Samples: [0.4, 0.6, 0.4, 0.5, 0.5]
  - Column: high_price
    - Samples: [None, None, None, None, 1.0]
  - Column: dish_id
    - Samples: [1, 2, 3, 4, 5]
  - Column: created_at
    - Samples: [2011-03-28 15:00:44 UTC, 2011-03-28 15:01:13 UTC, 2011-03-28 15:01:40 UTC, 2011-03-28 15:01:51 UTC, 2011-03-28 15:21:26 UTC]
  - Column: updated_at
    - Samples: [2011-04-19 04:33:15 UTC, 2011-04-19 15:00:54 UTC, 2011-04-19 19:10:05 UTC, 2011-04-19 19:07:01 UTC, 2011-04-13 15:25:27 UTC]
  - Column: xpos
    - Samples: [0.111429, 0.438571, 0.14, 0.377143, 0.105714]
  - Column: ypos
    - Samples: [0.254735, 0.254735, 0.261922, 0.26272, 0.313178]

SELECT SUM(CASE WHEN T1.name = 'Ritz Carlton' THEN 1 ELSE 0 END) FROM Menu AS T1 INNER JOIN MenuPage AS T2 ON T1.id = T2.menu_id WHERE T2.full_width > 1000