A large bakery buys flour in $20$ kg bags. The bakery uses an average of $4,390$ bags a year. Preparing an order, receiving the shipment, and paying the invoice costs $$15$ per order. Annual holding cost is $$4$ per flour bag.

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

EOQ $\_\_\_\_\_$

b$.$ What is the average number of bags on hand $($i$.$e$.,$ average cycle inventory$)?$ if EOQ is used? $($Round intermediate calculations. Round the final answer to $1$ decimal place.$)$

Average number of bags on hand $\_\_\_\_\_\_\_$

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

Orders per year $\_\_\_\_\_\_\_$

d$.$ Calculate the total annual cost of ordering and holding flour for EOQ. $($Do not round intermediate calculations. Round the final answer to $2$ decimal places.$)$

Total annual cost $ $\_\_\_\_\_$

e$.$ If ordering cost were to increase by $50$ percent per order, by what percentage would the EOQ change? $($Round intermediate calculations. Round the final answer to the nearest whole number.$)$

Percentage change $\_\_\_\_\_\%$