A satellite radio station is launching an advertising campaign in order to increase the number ofdaily listeners. The station currently has 27000 daily listeners, and management experts thenumbers of the daily listeners, S(t), to grow at a rate of S'(t) = 60t1/2 listeners per day, wheret is the number of days since the campaign began. How long should the campaign last if thestation wants the number of daily listeners to grow to 41000?