Demand for a book at Amazon is $385$ units per week $($assume $52$ weeks per year$).$ The book is supplied to Amazon from the book publisher for $$9$ per book plus the cost of shipping the order. The shipping cost has a fixed cost of $$95$ per order and a variable cost of $$2$ per book shipped. So$,$ the cost of the books is $$11$ per book, plus $$95$ times the number of orders placed.

Assume the annual inventory carrying cost is $31$ percent.

What is the annual holding cost per book?

Note: Round your answer to $2$ decimal places.

What is the optimal shipment size?

Note: Assume $52$ weeks per year. Round your answer to the nearest whole number.

What is the average throughput time?

Note: Do not round intermediate calculations. Round your answer to $3$ decimal places.