Sam's Cat Hotel operates $52$ weeks per year, $6$ days per week, and uses a continuous review inventory system. It purchases kitty litter for $$11\mathrm{.}70$ per bag. The following information is available:

Demand $=80$ bags$/$week

Order Cost $=$$$54/$order

Annual Holding Cost $=\frac{3\mathrm{.}20}{b}a\frac{g}{?}$ year

If their current order size is $550$ bags $($per order$),$ how much could they save annually by adopting an EOQ based inventory policy? $($Hint: Find the EOQ and then compare total cost

A$)$ Savings would be between $$10$ and $$100$

B$)$ Savings would be greater than $$100$ but less than $$250$

C$)$ Savings would be greater than $$250$ but less than $$500$

D$)$ Savings would be $$500$ or greater

E$)$ There would be no savings