Problem $11-6($Algo$)$

Richard$$s Sporting Goods needs to fill an online order for a gross $(180)$ hockey sticks. The manager is considering shipping the order by truck to the customer in Wisconsin, at a carrier charge of $$90.$ The delivery will take ten days and the order is paid on delivery $($Richard$$s doesn$$t get paid until the sticks are received$).$ The hockey sticks are valued at $$70$ for each stick and Richard$$s uses a $30$ percent annual inventory carrying charge.

a$.$ What will be the total shipping and transit inventory cost of the shipment?

b$-1.$ If the shipment could be delivered in only two days at a cost of $$180,$ then what will be the total shipment cost?

b$-2.$ If the manager chooses the above option, how much money would be saved or lost?