$\backslash$table$[[$er $9$ Homework,$\backslash$table$[[$Question $2,$ Problem $3],[$Part $1$ of $4]],>,\backslash$table$[[$HW Score: $53\mathrm{.}49\%,23$ of $43$ points$],[$Points: $0$ of $5]]]]$

Terminator, Inc., manufactures a motorcycle part in lots of $250$ units. The raw materials cost for the part is $$170,$ and the value added in manufacturing $1$ unit from its components is $$280,$ for a total cost per completed unit of $$450.$ The lead time to make the part is $3$ weeks, and the annual demand is $3,800$ units. Assume $50$ working weeks per year.

a$.$ How many units of the part are held, on average, as cycle inventory? $$ units. $($Enter your response as an integer.$)$