The following parallel reactions are run in a $10m^3$ batch reactor.

$A+B{k}_{1}C$

$B+C{k}_{1}D$

With $C_{A0}=30mol{m}^{-3}$ and $C_{B0}=20mol{m}^{-3}$

Both reactions can be considered elementary.

The down time between batches is $120$min and the maximum temperature is $353K$

The purchase and selling prices of the reactants and product is given table $1.$

Table $1$

We know that:

$k_1=0\mathrm{.}01e^{(\frac{-3000}{8\mathrm{.}314T})}{m}^{3}mo{l}^{-1}$min$-1$

$k_2=0\mathrm{.}5e^{(\frac{-25000}{8\mathrm{.}314T})}{m}^{3}mo{l}^{-1}$min$-1$

Using any method of your choice, find the reactor conditions and process operations that will

maximize the daily profit.