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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 $320,000$

Total stockholders$$ equity $ $580,000$

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

Common stock$$$$5$ par value, $100,000$ shares authorized, $35,200$ shares issued, $4,000$ shares in treasury $ $176,000$

Paid$-$in capital in excess of par value, common stock $146,400$

Retained earnings $($$$40,000$ restricted by treasury stock$)420,000$

$742,400$

Less cost of treasury stock $(40,000)$

Total stockholders$$ equity $ $702,400$

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?