A bakery buys sugar in $15-$pound bags. The bakery uses $5000$ bags of sugar each year. Carrying costs are $$20$ per bag per year. Ordering costs are estimated at $$5$ per order. Assume that the bakery is open $250$ days a year and its daily demand is estimated at $20$ bags. It takes $5$ days for each order of sugar to be filled. What is the maximum inventory held in a given EOQ cycle?

Question $25$ options:

$200$ bags

$50$

$15$ bags

$100$ bags

$5000$ bags