Maximum Oil Production It has been estimated that the total production of oil from a certain oil well is given by T(t) = −1000(t + 11)e−0.1t + 11,000 thousands of barrels t years after production has begun. Determine how many years after production has begun when the oil well will be producing at maximum capacity. (Keep in mind this formula 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 arrive at the answer.)   ___________ years after production has begun

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Maximum Oil Production

It has been estimated that the total production of oil from a certain oil well is given by

T(t) = −1000(t + 11)e−0.1t + 11,000

thousands of barrels t years after production has begun. Determine how many years after production has begun when the oil well will be producing at maximum capacity. (Keep in mind this formula 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 arrive at the answer.)
 
___________ years after production has begun

 

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