The complex chemical reaction, shown below, is carried out in an isothermal, constant$-$volume, batch reactor. All the reactions follow simple first$-$order kinetic rate relationships, in which the rate of reaction is directly proportional to concentration

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Data given:

$k_1=0\mathrm{.}01(\frac{l}{s})$;$k_2=0\mathrm{.}01(\frac{l}{s})$;$k_3=0\mathrm{.}05(\frac{l}{s})$;$k_4=0\mathrm{.}02(\frac{l}{s})$;$C_A=1$kmo$\frac{l}{m^3}$;$C_B=0$ kmo$\frac{l}{m^3}$;$C_C=0$kmo$\frac{l}{m^3}$;$C_D=0$kmo$\frac{l}{m^3}$

Find the concentration profile of $A,B,C$ and $D$ with respect to time from $t=0$ to $t=1000sec.$