In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as 254.43e-0.042 (1+2.12e-0.0422 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. P P 35 30 25 20 15 10 5 P 35 2838 30 25 20 P = 15 10 5 10 10 20 20 30 30 40 40 t t O 35 30 25 20 15 10 S 10 20 30 40 t O 35 30 25 20 15 10 5 (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 18 1x (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) 30 billion barrels per year 10 20 30 -1 40

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