The quality characteristic $($actual process performance$)$ for a stove part under scrutiny is $8\mathrm{.}07cm.$ Considering the specifications for the part are $8\mathrm{.}00+-0\mathrm{.}10cm.,$ and the Taguchi loss function is approximated as $L(x)=7,500(x-T{)}^2,$ calculate the estimated loss per part.

$10$ points

a$.$ More than $$30$ but less than or equal to $$35$

b$.$ More than $$35$ but less than or equal to $$40$

c$.$ More than $$20$ but less than or equal to $$25$

d$.$ More than $$25$ but less than or equal to $$30$