$5.$ A large bakery buys flour in $25$ kg bags. The bakery uses an average of $5,250$ bags a year. Preparing an order, receiving the shipment,

and paying the invoice costs $$16$ per order. Annual holding cost is $$5$ 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 $\_\_\_\_\_\_\%$