J$.$D$.$ has a dosing weight of $100kg$ and is to receive a starting dose of epoprostenol at the rate of $2$ nanograms$/$kilogram$/$minute$.$ Using $0\mathrm{.}5mg$ epoprostenol in $100mL$ solution, what is the rate of infusion in terms of $m\frac{L}{?}$ hour that the nurse must program into the pump in order to deliver $2n\frac{g}{k}\frac{g}{m}in?$

$58m\frac{L}{h}r$

$24m\frac{L}{h}r$

$2\mathrm{.}4m\frac{L}{h}r$

$5\mathrm{.}8m\frac{L}{h}r$