Problem $20-35($Algo$)$

Demand for a book at

Amazon.com is $370$ units per week. The product is supplied to the retailer from a factory. The factory pays $$9$

per unit. while the total cost of a shipment from the factory to the retailer when the shipment size is $Q$ is given by

Shipment cost $=$$$90+2Q$

Assume the annual inventory carrying cost is $30$ percent.

a$-1.$ What is Amazon's total cost per shipment?

Cost per shipment

a$-2.$ What is the annual holding cost per book? $($Round your answer to $2$ decimal places.$)$

Annual holding cost

per book

b$.$ What is the optimal shipment size? $($Assuming $52$ weeks per year. Round your answer to the nearest whole number.$)$

Optimal shipment size

books

c$.$ What is the average throughput time? $($Do not round intermediate calculations. Round your answer to $3$ decimal places.$)$