Answer
a) $\$ 13.76$ thousand
b) $\$ 15.96$ thousand
Work Step by Step
Given \begin{equation}
P(m)=10.3+2 \sqrt{m}.\tag{1}
\end{equation} A) Find $P(3)$ for $m= 3$ the third month of the year, using equation $(1)$.
\begin{equation}
\begin{aligned}
P(3)&=10.3+2 \sqrt{3}\\
&\approx13.76.
\end{aligned}
\end{equation} The company made a profit of about $\$ 13.76$ thousand in March.
B) Find $P(8)$ for $m= 8$ the eighth month of the year, using equation $(1)$.
\begin{equation}
\begin{aligned}
P(8)&=10.3+2 \sqrt{8}\\
&\approx15.96.
\end{aligned}
\end{equation} The company made a profit of about $\$ 15.96$ thousand in the month of August.
