A part is produced in lots of $1,000$ units. It is assembled from $2$ components worth $$40$ total. The value added in production $($for labor and variable overhead$)$ is $$30$ per unit, bringing total costs per completed unit to $$70.$ The average lead time for the part is $8$ weeks and annual demand is $4,100$ units, based on $50$ business weeks per year.

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

b$.$ how many units of the part are held on average in pipeline inventory?