Duke Inc. was incorporated on July 1, 2021 with authorized share capital of 1,000,000 common shares and 500,000 preferred $ 4 cumulative preferred shares, convertible to common shares at a rate of 10 common shares for each preferred share. During its first year of operations, Duke had profit of $ 126,000, and declared no dividends. Duke had the following transactions related to share capital during the year. Jul 1 2021 Issued 100,000 common shares for $2 each. Jul 1 2021 Issued 5,000 preferred shares for $ 75 each Aug 15 2021 Issued 10,000 common shares for legal services received, valued at $ 25,000 Dec 1 2021 Issued 5,000 common shares at $ 225 each in exchange for equipment received Mar 8 2022 Half of the preferred shares were converted to common shares. On this date, the market value of the common shares was $ 3.10 and the preferred share value was $ 80. Required: a) Prepare the entries to record the share transactions described above b) Prepare the shareholder equity section of Duke's balance sheet at June 30, 2022, the date of its first year end c) Calculate the return on equity for the first year of operations. Use the July 1, 2021 share capital as the beginning balance for the purpose of calculating average shareholder equity