Final answer:
The correct answer is option c. 1,000.
Step-by-step explanation:
The client is entitled to receive dividends on the shares they own on the record date. Since the client purchased 1,000 shares on May 2 and sold 500 shares on May 10, the day the stock went ex-dividend, they still owned the shares on the ex-date.
Thus, the answer to how many shares the client is entitled to receive dividends on is 1,000 shares because the ex-date determines the entitlement to dividends, and anyone who owns the stock before that date is eligible for the dividend payout.