Store A orders on a weekly basis. Its weekly demand is $50$ units with a standard deviation of five units. The holding cost is $$10$ per unit per week and a $0\mathrm{.}99$ in$-$stock probability is desired. What will be the effect on Store A$\text{'}$s average on$-$hand inventory if lead time declines from five weeks to three weeks, other parameters remaining unchanged? $($Hint: Focus sharply on only relevant info$).$