Supponendo che i campi unità e producer_goods abbiano più di una riga per nome e tu voglia mostrarli tutti.
SELECT ta.[Name],
(SELECT count([Name]) FROM [Table] tc
WHERE tc.[Name] = ta.[Name]
AND ta.id_city='333'
AND ta.id_firm='444'
AND ta.id_service='555'
) as [Name Count],
ta.unit as ta_unit,
ta.id_producer_goods as ta_id_producer_goods
FROM [Table] ta
WHERE ta.id_city='333'
AND ta.id_firm='444'
AND ta.id_service='555'
ORDER BY ta.[Name]