Answer
a) $f(20)=25000$ dollars
b) $f(60)=150000$ dollars, $f(80)=400000$ dollars
c)$f(90)=900000$ dollars, $f(95)=1900000$ dollars, $f(99)=9900000$ dollars
As $x$ approaches 100%, the cost drastically increases.
Work Step by Step
$f(x)=\frac{100000x}{100-x}$
a)
x=20
$f(x)=\frac{100000x}{100-x}$
$f(20)=\frac{100000*20}{100-20}$
$f(20)=\frac{2000000}{80}$
$f(20)=25000$
b)
$x=60$
$f(x)=\frac{100000x}{100-x}$
$f(60)=\frac{100000*60}{100-60}$
$f(60)=\frac{6000000}{40}$
$f(60)=150000$
$x=80$
$f(x)=\frac{100000x}{100-x}$
$f(80)=\frac{100000*80}{100-80}$
$f(80)=\frac{8000000}{20}$
$f(80)=400000$
c)
$x=90$
$f(x)=\frac{100000x}{100-x}$
$f(90)=\frac{100000*90}{100-90}$
$f(90)=\frac{9000000}{10}$
$f(90)=900000$
$x=95$
$f(x)=\frac{100000x}{100-x}$
$f(95)=\frac{100000*95}{100-95}$
$f(95)=\frac{9500000}{5}$
$f(95)=1900000$
$x=99$
$f(x)=\frac{100000x}{100-x}$
$f(99)=\frac{100000*99}{100-99}$
$f(99)=9900000/1$
$f(99)=9900000$
