Chapter 5.1, Problem 88E

88. Sales analysis. Repeat Problem 86 if S'(t) = 500t^1/4 + 300 and all other information remains the same. Use a graphing calculator to approximate the solution of the equation S(t) = 20,000 to two decimal places.

86. Sales analysis. The rate of change of the monthly sales of a newly released football game is given by

     $S^{\prime }\left(t\right)=500t^{1/4}S\left(0\right)=0$

where t is the number of months since the game was released and S(t) is the number of games sold each month. Find S(t). When will monthly sales reach 20,000 games?