Worldwide oil production. One model of worldwide oil production is the function given by

Chapter 2, Problem 101

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Worldwide oil production. One model of worldwide oil production is the function given by - 0.687t + 4.00, 0 t 90, P1t2 = 0.000008533t4 - 0.001685t3 + 0.090t2 where P(t) is the number of barrels, in billions, produced in a year, t years after 1950. (Source: Beyond Oil, by Kenneth S. Deffeyes, p. xii, Hill and Wang, New York, 2005.) According to this model, in what year did worldwide oil production achieve an absolute maximum? What was that maximum? (Hint: Do not solve P.1t2 = 0 algebraically.)

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