e$)$ Now suppose that the English company is ready to send the mustard by a faster ship, which will reduce the replenishment lead time to $1-$month and the standard deviation of demand during that period to $17\mathrm{.}7,$ but increase the cost to $$15$ per jar. What will be the new reorder point for $98\%$ fill rate and $98\%$ cycle service level, respectively?

f$)$ What will be the optimal total inventory cost $($Ordering $+$ Holding $+$ Purchase$)$ before and after the decrease of lead time under $98\%$ fill rate? What managerial insights can you get from this?