Answer
$2,744 \text{ deliveries per day}$
Work Step by Step
Using the given function, $
C(x)=80\sqrt[3]{x}+500
,$ then the cost, $C(x),$ is below $\$1,620$ when
\begin{array}{l}\require{cancel}
80\sqrt[3]{x}+500<1620
.\end{array}
Using the properties of inequality, the inequality above is equivalent to
\begin{array}{l}\require{cancel}
80\sqrt[3]{x}<1620-500
\\
80\sqrt[3]{x}<1120
\\
\sqrt[3]{x}