A large bakery buys flour in $25-$pound bags. The bakery uses an average of $1,215$ bags a year. Preparing an order and receiving a shipment of flour involves a cost of $$10$ per order. Annual carrying costs are $$75$ per bag.

a$.$ Determine the economic order quantity. $($Round your final answer to the nearest whole number.$)$

Economic order quantity

bags

b$.$ What is the average number of bags on hand? $($Round your final answer to the nearest whole number.$)$

Average number of bags

c$.$ How many orders per year will there be$?($Round your final answer to the nearest whole number.$)$

Number of orders per year