The total cumulative sales S (in thousands) of a DVD movie is given by $S(t) = \frac{700t^2}{t^2 + 75}$, where t is the number of months after its release. Use the formula to answer the questions.
a. Find: $\lim_{t \to \infty} S(t) =$
Interpret what the limit means in terms of sales of DVDs. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. Total sales will climb higher and higher.
B. After months total sales will flatten.
C. After time passes, the total sales will continue to increase, but approach an upper bound of thousand DVDs.
D. Total sales will eventually be zero.