e total world population is forecast to be P(t) = 0.00085t3-0.0696t2 + 0.81t + 6.04 (0 sts 10) time t, wheret is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions. O When is the total world population forecast to peak? In what year? You MUST justify that your result is an optimal value. (Round your answer down to the nearest tenth.) The corresponding year is . (Round your answer down to the nearest year.) At what number will the population peak? (Round your answer to two decimal places.) billion

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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The total world population is forecast to be
P(t) = 0.00085t-0.0696t2 + 0.81t + 6.04
%3D
(0 sts 10)
in time t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions.
(a)
When is the total world population forecast to peak? In what year? You MUST justify that your result is an optimal value.
(Round your answer down to the nearest tenth.)
The corresponding year is
. (Round your answer down to the nearest year.)
(b) At what number will the population peak? (Round your answer to two decimal places.)
billion
Transcribed Image Text:The total world population is forecast to be P(t) = 0.00085t-0.0696t2 + 0.81t + 6.04 %3D (0 sts 10) in time t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions. (a) When is the total world population forecast to peak? In what year? You MUST justify that your result is an optimal value. (Round your answer down to the nearest tenth.) The corresponding year is . (Round your answer down to the nearest year.) (b) At what number will the population peak? (Round your answer to two decimal places.) billion
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