Problem $20-35($Algo$)$

Demand for a book at

Amazon.com is $130$ units per week. The product is supplied to the retailer from a factory. The factory pays $$8$ 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 $=$$$47+2Q$

Assume the annual inventory carrying cost is $10$ percent.

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

Cost per shipment $$

$$ Q $$

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