The charter of Vista West Corporation specifies that it is authorized to issue $209,000$ shares of common stock. Since the company was incorporated, it has sold a total of $142,000$ shares $($at $$16$ per share$)$ to the public. It has bought back a total of $12,000.$ The par value of the stock is $$5.$ When the stock was bought back from the public, the market price was $$22.$

Required:

$1.$ Determine the authorized shares.