As the tax assessor for Indian Creek County, you have been informed that due to budgetary demands, a tax increase will be necessary next year. The total market value of the property in the county is $$800,000,000.$ Currently, the assessment rate is $35\%$ and the tax rate is $40$ mills. The county commission increases the assessment rate to $45\%$ and the tax rate to $45$ mills.

$($a$)$

How much property tax $($in $$)$ was collected under the old rates?

$

Incorrect: Your answer is incorrect.

$($b$)$

How much more tax $($in $$)$ revenue will be collected under the new rates?