Answer
$ \begin{array}{ll}
a. & {{\$}} 222\\
b. & {{\$}} 225\\
c. & {{\$}} 220\\
d. & {{\$}} 230\\
&
\end{array}$
Work Step by Step
$a.$
No wind $\Rightarrow x=500+0.$
$C(500)=100+\displaystyle \frac{500}{10}+\frac{36,000}{500}$
$=100+50+72$
$={{\$}} 222$
$b.$
Head wind blows in the opposite direction of flight:
$x=500-50$
$C(450)=100+\displaystyle \frac{450}{10}+\frac{36,000}{450}$
$=100+45+80$
$={{\$}} 225$
$c.$
Tail wind blows in the same direction as flight:
$x=500+100$
$C(600)=100+\displaystyle \frac{600}{10}+\frac{36,000}{600}$
$=100+60+60$
$={{\$}} 220$
$d.$
Head wind blows in the opposite direction of flight:
$x=500-100$
$C(400)=100+\displaystyle \frac{400}{10}+\frac{36,000}{400}$
$=100+40+90$
$={{\$}} 230$