$5.$ A large bakery buys flour in $25$ kg bags. The bakery uses an average of $4,860$ bags a year. Preparing an order, receiving shipment, and paying the invoice costs $$10$ per order. Annual holding cost is $$5$ per flour bag

a$.$ Determine the economic order quantity.

b$.$ What is the average number of bags on hand $($ie$.,$ average cycle inventory$)$ if EOQ is used?

e$.$ How many orders per year will there be if EOQ is used?

d$.$ Calculate the total annual cost of ordering and holding flour for EOQ