Based on a preliminary report by a geological survey team, it is estimated that a newly discovered oil field can be expected to produce oil at the rate of
Thousand barrels/year, t years after production begins. Find the amount of oil that the field can be expected to yield during the first 17 years of production, assuming that the projection holds true.

A) 1,086 thousand barrels
B) 1,093 thousand barrels
C) 1,090 thousand barrels
D) 1,098 thousand barrels

Question

Based on a preliminary report by a geological survey team, it is estimated that a newly discovered oil field can be expected to produce oil at the rate of ​  ​
Thousand barrels/year, t years after production begins. Find the amount of oil that the field can be expected to yield during the first 17 years of production, assuming that the projection holds true.
​
A) 1,086 thousand barrels 
B) 1,093 thousand barrels 
C) 1,090 thousand barrels 
D) 1,098 thousand barrels

Quizplus · Accepted Answer

To find the amount of oil that the field can be expected to yield during the first 17 years of production, we need to find the total amount of oil produced during those 17 years. We can do this by integrating the given function:
 ∫ 11eb651f_cb16_264a_b0a1_ff891e89fa2f_TB8255_11 dt from 0 to 17
= 8255*(e^(0.11*17)-1)
= 1,093 thousand barrels

Therefore, the best choice is B.

Based on a Preliminary Report by a Geological Survey Team