By Nadia Damouni NEW YORK (Reuters) – Billionaire investor Carl Icahn has sold his entire stake in Family Dollar Stores Inc, making a profit of about $200 million on the investment, according to sources familiar with the matter on Wednesday. Dollar Tree Inc agreed in July to buy Family Dollar for $8.5 billion. Since then, however, the deep-discount retailer has drawn competing interest from Dollar General Corp, which has bid $9.1 billion for its smaller rival. Icahn became Family Dollar’s largest shareholder in June, when he disclosed a 9. …