Sultan Services has $1$ million shares outstanding. It expects earnings at the end of the year of $$6$ million. Sultan pays out $60\%$ of its earnings in total: $40\%$ paid out as dividends and $20\%$ used to repurchase shares. If Sultan's earnings are expected to grow by $5\%$ per year, these payout rates do not change, and Sultan's equity cost of capital is $10\%,$ what is Sultan's share price?

A$.$ $$43\mathrm{.}2$

B$.$ $$28\mathrm{.}8$

C$.$ $$14\mathrm{.}4$

D$.$ $$72$