Company A purchases $36,000$ bags of sugar each year. They pay $$20$ to place each order and have an annual carrying cost of $20\%$ of the purchase price per bag. Each bag costs $$2$ and management likes to keep $500$ bags for safety stock. The sugar vendor now offers a quantity discount of $$0\mathrm{.}05$ per bag when Margo$$s orders $10,000$ bags. Determine the EOQ. Calculate the Total Inventory Cost at EOQ with safety stock. Determine the before tax benefit or loss of accepting the quantity discount.