The following transactions occurred during $2024($assume the retirements were the first ever recorded by Westburne$)$:

Jan. $5$ A $$1\mathrm{.}60$ per share cash dividend was declared, and the date of record was five days later.

Mar. $203,000$ common shares were repurchased and retired at $$20\mathrm{.}00$ per share.

Apr. $5$ A $$1\mathrm{.}60$ per share cash dividend was declared, and the date of record was five days later.

July $5$ A $$1\mathrm{.}60$ per share cash dividend was declared, and the date of record was five days later.

July $31$ A $20\%$ share dividend was declared when the market value was $$32\mathrm{.}00$ per share.

Aug. $14$ The share dividend was issued.

Oct. $5$ A $$1\mathrm{.}60$ per share cash dividend was declared, and the date of record was five days later.

Required:

How many shares were outstanding on each of the cash dividend dates?

How much profit did the company earn during $2024?$