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The equity sections for Atticus Group at the beginning of the year $($January $1)$ and end of the year $($December $31)$ follow.

Stockholders$$ Equity $($January $1)$

Common stock$$$$5$ par value, $100,000$ shares authorized, $30,000$ shares issued and outstanding $ $150,000$

Paid$-$in capital in excess of par value, common stock $110,000$

Retained earnings $340,000$

Total stockholders$$ equity $ $600,000$

Stockholders$$ Equity $($December $31)$

Common stock$$$$5$ par value, $100,000$ shares authorized, $35,000$ shares issued, $5,000$ shares in treasury $ $175,000$

Paid$-$in capital in excess of par value, common stock $145,000$

Retained earnings $($$$50,000$ restricted by treasury stock$)400,000$

$720,000$

Less cost of treasury stock $(50,000)$

Total stockholders$$ equity $ $670,000$

The following transactions and events affected its equity during the year.

January $5$ Declared a $$0\mathrm{.}40$ per share cash dividend, date of record January $10.$

March $20$ Purchased treasury stock for cash.

April $5$ Declared a $$0\mathrm{.}40$ per share cash dividend, date of record April $10.$

July $5$ Declared a $$0\mathrm{.}40$ per share cash dividend, date of record July $10.$

July $31$ Declared a $20\%$ stock dividend when the stock$$s market value was $$12$ per share.

August $14$ Issued the stock dividend that was declared on July $31.$

October $5$ Declared a $$0\mathrm{.}40$ per share cash dividend, date of record October $10.$

Required:

$1.$ How many common shares are outstanding on each cash dividend date?