The original question implies a steady-growth scenario, in which the company's production increases at the same rate (let's call it
g, for
growth) each year.
If the company's production level is some amount
P, in any arbitrary year, then their production level
n years
later would be
Given that their production triples every ten years, we can adjust the previous model to say that for any production level
P, ten years later the production level would be
3P; thus the general model for this situation is
which quickly reduces to
.
Now take the 10th root of both sides to find the annual production growth rate
g that creates the requisite 3-fold growth every ten years.
Can you run with it from here? Good luck, and I hope that helped out a li'l bit.