Assume that the monetary value of an asset grows such that its value at time $t$ is $100\sqrt[\phantom{2}]{t}$ when

sold. Assume that the interest rate is $r=10\%,$ and the value of a cash amount $v$ at time $t$

converted to present value is $e^{-rt}v($continuous compounding model$).$ If the investment costs $100$

units, when is it profitable to sell it$?$