ancy Paints purchases a color$-$mixing machine. It allows Fancy Paints to store only a

$$base$$ liquid and then use small color tablets to quickly create any of the above $200$ SKUs.

This requires carrying inventory of color tablets but they are inexpensive and easy to stock

in very large quantities. Ignoring tablets for now, how much average inventory of $$base$$

liquid should be kept at the store? Lead time and service level remains the same.