Problem #$56$: Laffer Equation

During the $1980$s$,$ the controversial economist Arthur Laffer promoted the idea that tax increases lead to a reduction in government revenue. Called supply$-$side economics, the theory uses functions such as

$f(x)=\frac{80x-8000}{x-110},30x100$

This function models the government tax revenue, $f(x),$ in tens of billions of dollars, in terms of the tax rate, $x.$ The graph of the function is shown. It illustrates tax revenue decreasing quite dramatically as the tax rate increases. At a tax rate of $($gasp$)100\%,$ the government takes all of our money and no one has an incentive to work. With no income earned, zero dollars in tax revenue is generated.

Use function f and its graph to solve.