IM$\mathrm{.}65$ Boeing orders a small part $($component$)$ used in many of its wing assemblies. Below is some information on this part:

Cost per case $=$ $$415$

Parts per case $=60$

Daily usage of parts per day $($demand$)=49$

Standard deviation of daily demand $=13$

Purchasing lead time $($in days$)=20$

Desired service level $=86\%$

Ordering $($administrative$)$ costs $=$ $$440$

Annual interest earned on cash $=6\%$

Assume that Boeing operates $365$ days per year

What should be the safety stock for this part $($in parts, not cases$)?($Display your answer to two decimal places.$)$

What should be the reorder point $($in parts, not cases$)?($Display your answer to two decimal places.$)$

What is the economic order quantity $($in parts, not cases$)?($Display your answer to the nearest whole number.$)$