At $445$oC$,$ Kc for the following reaction is $0\mathrm{.}020.$

$2$HI$($g$)$ H$2($g$)+$ I$2($g$)$

A mixture of H$2,$ I$2,$ and HI in a vessel at $445$oC has the following concentrations: $[$HI$]=2\mathrm{.}0$ M$,[$H$2]=0\mathrm{.}50$ M and $[$I$2]=0\mathrm{.}10$ M$.$ Which one of the following statements concerning the reaction quotient, Qc$,$ is TRUE for the above system?

$($a$)$ Qc $=$ Kc; the system is at equilibrium.

$($b$)$ Qc is less than Kc; more H$2$ and I$2$ will be produced.

$($c$)$ Qc is less than Kc; more HI will be produced.

$($d$)$ Qc is greater than Kc; more H$2$ and I$2$ will be produced.

$($e$)$ Qc is greater than Kc; more HI will be produced.