Computing the equivalent dose of antipsychotics

Use in this exercise the power relationship of the form

$y=c\cdot x^b$ where $y$ the dose of a given antipsychotic, $x$ is the equivalent dose of chlorpromazine (CPZ) or the equivalent dose of haloperidol (HPD), and $b$ and $c$ drug-specific, experimentally determined numbers for the two reference antipsychotics.

Antipsychotic	relationship ( $x={}$ CPZ dose)	relationship ( $x={}$ HPD dose)
clozapine	$\quad y=2.027\,x^{0.864}$	$\quad y=66.58\,x^{0.796}$
risperidone	$\quad y=0.019\,x^{0.924}$	$\quad y=0.790\,x^{0.851}$
olanzapine	$\quad y=0.086\,x^{0.870}$	$\quad y=2.900\,x^{0.805}$
quetiapine	$\quad y=2.806\,x^{0.852}$	$\quad y=88.16\,x^{0.786}$
aripiprazole	$\quad y=0.255\,x^{0.700}$	$\quad y=4.343\,x^{0.645}$
chlorpromazine	$\quad y=x$	$\quad y=56.98\,x^{0.923}$
haloperidol	$\quad y=0.013\,x^{1.082}$	$\quad y=x$

A patient uses $50\,\mathrm{mg}$ and $20\,\mathrm{mg}$ aripiprazol daily.
What is the equivalent dose of chlorpromazine, in mg and rounded to 2 decimal places?

Equivalent CPZ dose =

in mg and rounded to 2 decimal places.

Basic functions: Power functions

Computing the equivalent dose of antipsychotics