A new manager finds that the average inventory level at the distribution center $($DC$)$ has increased by $100\%$ in the last two years, coinciding with a $100\%$ increase in the number of stores the DC serves. Each store faces independent demand. Hence, inventory at DC has increased proportionally with its demand. With the targeted service level remaining unchanged at $95\%,$ the current inventory level would:

Group of answer choices

Not achieve the $95\%$ goal, suggesting need for holding more safety stock

Be just enough to meet the $95\%$ goal

Over$-$achieve the $95\%$ goal, suggesting room for inventory reduction