per month, where $t$ is time in months and $S(t)$ is the number of computers sold each month.

$S^{\text{'}}(t)=-15t^{\frac{2}{3}}$

The company plans to stop manufacturing this computer when monthly sales reach $800$ computers. If monthly sales now $)=(0$ are $1,430$ computers, find $S(t).$ How long will the company continue to manufacture this computer?

$S(t)=$