Problem $20-35($Algo$)$

Demand for a book at Amazon is $205$ units per week $($assume $52$ weeks per year$).$

The book is supplied to Amazon from the book publisher for $$8$ per book plus the

cost of shipping the order. The shipping cost has a fixed cost of $$55$ per order and

a variable cost of $$2$ per book shipped. So$,$ the cost of the books is $$10$ per book,

plus $$55$ times the number of orders placed.

Assume the annual inventory carrying cost is $16$ percent.

a$.$ What is the annual holding cost per book?

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

Answer is complete and correct.

b$.$ What is the optimal shipment size?

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

number.

Answer is complete but not entirely correct.

c$.$ What is the average throughput time?

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

decimal places.