Question $10(6\mathrm{.}67$ pts$)$

If a firm's profit is modeled by the following function:

Z$=3$x$2+12$x$+25,$where$$x$1.$Z $=-3$x$^2+12$x $+25,\backslash$; $\backslash$text$\{$where $\}$ x $\backslash$leq $1.$Z$=3$x$2+12$x$+25,$where$$x$1.$

Then the maximum profit is $\_\_\_\_\_\_\_.$

Please choose the option that properly fits the empty space above:

$63$

$52$

$40$

$34$

None of the above