HotFoot Shoes would like to maintain its cash account at a minimum level of $$34,000$ but expects the standard deviation in net daily cash flows to be $$2,900,$ the effective annual rate on marketable securities to be $4\mathrm{.}4$ percent per year, and the trading cost per sale or purchase of marketable securities to be $$290$ per transaction.

What will be its optimal upper cash limit$?$

Note: Use $365$ days a year. Do not round intermediate calculations. Round your answer to $2$ decimal places.