A local restaurant buys fresh sashimi every day for $$5\mathrm{.}60$ per pound and sells it for $$9\mathrm{.}00$ per pound. At

the end of the day, any remaining sashimi is sold to a pet food manufacturer for $$2\mathrm{.}30$ per pound. Daily

demand is estimated to be normally distributed with a mean of $76\mathrm{.}2$ pounds and a standard deviation of

$6\mathrm{.}03$ pounds.

a$)$ What is the service level achieved?

b$)$ What is the optimal stocking level?