In 1956, M. King Hubbert propo

In 1956, M. King Hubbert proposed a model to analyze crude oil production.† His model, with updated data, gives world crude oil production as
P = 

254.43e−0.042t
(1 + 2.12e−0.042t)2

.

Here P is measured in billions of barrels per year, and t is time, in years, since 2000.
(a)
Make a graph of world crude oil production for 2000 through 2040.
 

 

 

 

 

 

 
(b)
In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.)
 
(c)
What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.)
 billion barrels per year

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