Question $4$: $($il$19$ from the Textbook$)$

The Paris Bakery has decided to bake $30$ batches of its famous beignets at the beginning of the day. The store has determined that daily demand will follow the distribution shown in the following table:

$\backslash$table$[[$DAICI DEMAND,PROHEBLLITY$],[15,0\mathrm{.}08],[20,0\mathrm{.}12],[25,0\mathrm{.}25],[30,4\mathrm{.}20],[35,0\mathrm{.}20],[40,0\mathrm{.}15]]$

Each batch costs the Paris Bakery $$50$ and can be sold for $$100.$ The Paris Bakery can sell any unsold batches for $$25$ the next day.

Simulate $1$ month $(25$ days$)$ of operation to calculate the bakery's total monthly profit. Replicate this calculation N times to compute the average total monthly profit.

Replicate your model up to $500$ times.