Roberto Designers was organized on January $1,2024.$ The firm was authorized to issue $110,000$ shares of $$7$ par value common stock. During $2024,$ Roberto had the following transactions relating to stockholders' equity:

Issued $11,000$ shares of common stock at $$9$ per share.

Issued $22,000$ shares of common stock at $$10$ per share.

Reported a net income of $$110,000.$

Paid dividends of $$55,000.$

Purchased $4,500$ shares of treasury stock at $$12($part of the $22,000$ shares issued at $$10).$

What is total stockholders' equity at the end of $2024?$

Multiple Choice

$$639,000$

$$342,000$

$$749,000$