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 inches and a standard deviation of inches. The lower specification limit is inches and the upper specification limit is 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 $$$$.$ If the bread is too long$(>$ USL$),$ then it must be$$ cut, and the excess thrown away at a cost of $$$$.$ If Subway makes loaves of bread per day and works $360$ days per$$ year, what is the annual expected fixing cost of this$$ process? Use a dash$(-)$ to notate negative numbers.

$$a$)$ Zup$=$

$$

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

$$P$(>$USL$)=$

$$

enter your response here $($round your response to four decimal$$ places$).$

$$b$)$ Zdown$=$

$$

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

$$P$($ LSL$)=$

$$

enter your response here$($round your response to four decimal$$ places$).$

$$c$)$ Annual Output$=$

$$

enter your response here loaves per year $($round your response to the neearest$$ integer$).$

$$d$)$ Annual Expected Fixing Cost$=$$

$$

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