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. a$.$ what is the minimum inventory held in a given EOQ cycle? b$.$ What is the total cost of ordering and carrying sugar?