(Solved): It has been estimated that the total procuction of oll from a certain oil well is given by (t)= ...

It has been estimated that the total procuction of oll from a certain oil well is given by $?(t)=?1000(t+12)e^{?0.1t}+12,000$ thousands of barrels t years after production has begun. Determine how many years after production has begur when the oll weil wei be producing at maximum capaclty (Keep in alind this formuls expresses the total of all production from time 0 to time $t$, not the production at time $t$. Think about what you should maximize to amive at the answee. years after production has begun