Annual demand for the Dobbs model airplane kit is $80,000$ units. Albert Dobbs, president of Dobbs' Ter$-$ rific Toys, controls one of the largest toy companies in Nevada. He estimates that the ordering cost is $$40$ per order. The carrying cost is $$7$ per unit per year. It is $25$ days from the time that Albert places an order for the model airplane kits until they are received at his warehouse. During this time, the daily demand is estimated to be $450$ units. $$

$($a$)$ Compute the EOQ, ROP, and optimal number of orders per year.

$($b$)$ Albert now believes that the carrying cost may be as high as $$14$ per unit per year. Furthermore, he estimates that the lead time may be $35$ days instead of $25$ days. Redo part $($a$),$ using these re$-$ vised estimates.