Jan 19 (Reuters) - The Federal Trade Commission (FTC) should examine high egg prices for signs of price gouging from top egg companies, a farm group said, as Americans continue to pay more than ever for the household staple. egg production was about 5% lower in October compared to last year, and egg inventories were down 29% in December compared to the beginning of the year, the latest USDA data shows - a significant drop, but one that may not explain record-high prices, said Basel Musharbash, an attorney with Farm Action. See here for a complete list of exchanges and delays