The shareholders' equity section of Max Inc. provides information as follows:

Stockholders' equity
Common stock, $1 par, 250,000 shares authorized, 75,500 shares issued, 72,000 shares outstanding	$75,500
Paid-in capital in excess of par-Common stock	480,000
Retained earnings	360,000
Accumulated other comprehensive income	48,000
Less: Treasury stock, 3,500 shares at cost	(55,000)
Total equity attributable to Nakoma Inc. stockholders	$908,500
Equity attributable to noncontrolling interests.	5,000
Total stockholders' equity	$913,500

During 2020, Max Inc. has the following transactions:

• On February 28, 2020, Max Inc. declared and issued a 2-for-1 stock split effected in the form of 100% large stock dividend.

• On June 30, 2020, Max Inc. purchased 2,200 common shares for the treasury at $18 per share.

• On January 15, 2020, Max Inc. reacquired and retired 5,000 shares of $1 par value common stock at $20 per share.

• On December 15, 2020, Max Inc. retired 2,400 treasury shares.

Required: Given the transactions above, on December 31, 2020.

1. The number of authorized shares is

• ? shares.

2. The number of issued shares is

• ? shares.

3. The number of outstanding shares is

• ? shares.

4. The number of treasury shares is

• ? shares.

(Please try to show the detailed steps, thank you!)