Melody lives under an imputation tax system. Her income tax rate is $40\%,$ which applies to all of her income, including wages, interest income and dividend income. Melody owns $2000$ shares of Orica Inc. Orica Inc. has $3$ billion shares outstanding and had taxable income of $$5$ billion. If Orica$$ corporate tax rate is $35\%$ and its payout ratio is maintained at $80\%.$ 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?