Having Fun Party Supplies has implemented a new ordering system and plans to order themed birthday party sets using a periodic review inventory system. Given the information below for various products calculate the information needed. A product's fixed cost of ordering is expected to be $$300$ per order using the automated system; the historical data shows that demand for the product is $500$ set per month with a standard deviation of $25$ sets per month. The inventory holding rate is $36\%$ per year, and each set costs $$151,$ and lead time is $2\mathrm{.}0$ month, the $z$ value corresponding to the target fill rate during the lead time is $1\mathrm{.}13.$ Given this information calculate the optimal review interval in months $($assume one year is $52$ weeks, and one month is four weeks, round the results to three decimal points e$.$g$.,$ abc.cde$)$