A part is produced in lots of $1,000$ units. It is assembled from $2$ components worth $$70$ total. The value added in

production $($for labor and variable overhead$)$ is $$70$ per unit, bringing total costs per completed unit to $$140.$ The

average lead time for the part is $5$ weeks and annual demand is $3,800$ units, based on $50$ business weeks per year.

a$.$ How many units of the part are held, on average, in cycle inventory? $500$ units. $($Enter your response as

an integer.$)$

What is the dollar value of this inventory? $$70000.($Enter your response as an integer.$)$

b$.$ How many units of the part are held, on average, in pipeline inventory? units. $($Enter your response as

an integer.$)$