Swifty Corporation had $312,000$ shares of common stock outstanding on January $1,2017.$ On May $1,$ Swifty issued $29,700$ shares.

$($a$)$ Compute the weighted$-$average number of shares outstanding if the $29,700$ shares were issued for cash.

Weighted$-$average number of shares outstanding

$($b$)$ Compute the weighted$-$average number of shares outstanding if the $29,700$ shares were issued in a stock dividend.

Weighted$-$average number of shares outstanding