Problem $1$Duke & Duke currently has $4\mathrm{.}5$ million shares of stock outstanding and will report earnings after taxes of $$6\mathrm{.}8$ million in the current year. The company has hired Goldman Sachs as the lead underwriter and is considering the issuance of $800,000$ additional shares that will sell to the public for $$36$ per share, with a $6\mathrm{.}25\%$ underwriting spread.A$)$ Calculate the net price per share to the corporation that Duke & Duke will receive. B$)$How much will Duke & Duke receive from the sale of additional shares in total net proceeds?C$)$ Calculate the Earnings Per Share before the stock issue.D$)$d$.$ Calculate the Earnings Per Share immediately after the issue.E$)$ What will the earnings per share be if the company can earn $9\mathrm{.}25\%$ on the total net proceeds of the stock issue in time to include it in the current year's earnings.F$)$Should Duke & Duke proceed with the issuance of new shares?