You have been hired by Subway to examine their bread making process. You have been told that the process is

normally distributed with a mean of $12\mathrm{.}2$ inches and a standard deviation of $0\mathrm{.}36$ inches. The lower specification limit is

$12$ inches and the upper specification limit is $12\mathrm{.}7$ inches. If the bread is less than $12$ inches, then the bread can only be

used for a single $6-$inch sandwich and the rest must be scrapped at a cost of $$1\mathrm{.}26.$ If the bread is too long $(>$ USL$),$ then

it must be cut, and the excess thrown away at a cost of $$0\mathrm{.}44.$ If Subway makes $200$ loaves of bread per day and works

$360$ days per year, what is the annual expected fixing cost of this process? Use a dash $(-)$ to notate negative numbers.

a$)$ Zup$=$

$($round your response to two decimal places$).$

$P(>$USL$)=($round your response to four decimal places$).$

b$)$ Zdown $=($round your response to two decimal places$).$

$=,=$$$,P((round$ your response $to$ four decimal places$).$

$c)$ Annual Output $=,$ loaves per year $(round$ your response $to$ the neearest integer$).$

$d$