Melody lives under an imputation tax system. Her income tax rate is $30\%,$ which applies to all of her income, including wages, interest income and dividend income. Melody owns $1000$ shares of Orica Inc. Orica Inc. has $4$ billion shares outstanding and had taxable income of $$2\mathrm{.}5$ billion. If Orica$$ corporate tax rate is $35\%$ and its payout ratio is maintained at $70\%.$ Assuming all dividends paid are fully franked, how much more tax need to be paid by Melody if she had lived under a classical tax system? $($Round to the nearest two digits$)$

Group of answer choices

$$29\mathrm{.}25$

$$107\mathrm{.}42$

$$187\mathrm{.}20$

$$560\mathrm{.}00$

None of the other answers.