$3.$ Dividends that can be distributed to ordinary shares of "Bilig" in $2022$ are $20\mathrm{.}0$ million MNT$.$ A total of $500,000$ ordinary shares are in circulation and are traded on the market at $200$ MNT each. The board of directors of the company decided to distribute a dividend of $20$ MNT per ordinary share.Things to do:a$)$ Calculate the company's potential earnings per share $($EPS$),$ price$-$earnings ratio $($P$/$E ratio$),$ and dividend payout ratio $($D$/$P ratio$).$b$)$ Assuming that the company can buy back its ordinary shares for $220$ MNT$,$ how many shares can it buy with the remaining profit except for the declared dividend?c$)$ What will be the profit per share after buying the shares?d$)$ Assuming the price$-$to$-$earnings ratio remains unchanged, what will be the market price per share after the buyback?f$)$ Will the decision to buy back shares be beneficial for the company?