A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The number of seeds S(t) produced by a plant maturing at age t is S(t) = -0.2t? + 50t + 0.6 seeds per mature plant A farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only 100000 P(t) = plants mature to age t. t+ 100 What age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop?. a) Between 55 and 65 days b) Between 115 and 125 days c) Between 65 and 75 days d) Between 85 and 95 days

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A farmer grows a particular plant that has a gene
that
can be manipulated to control the age t at which the plant
matures. The number of seeds S(t) produced by a plant
maturing at age t is
S(t) = -0.2t? + 50t + 0.6 seeds per mature
plant
A farmer asks the geneticists to genetically engineer a plant
line that accounts for the fact that on his farm, only
100000
P(t) =
plants mature to age t.
t+ 100
What age of maturity should the geneticist select for the
plants
to maximize the seed production of the farmer's crop?.
a)
Between 55 and 65 days
b)
Between 115 and 125 days
c)
Between 65 and 75 days
d)
Between 85 and 95 days
Transcribed Image Text:A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The number of seeds S(t) produced by a plant maturing at age t is S(t) = -0.2t? + 50t + 0.6 seeds per mature plant A farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only 100000 P(t) = plants mature to age t. t+ 100 What age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop?. a) Between 55 and 65 days b) Between 115 and 125 days c) Between 65 and 75 days d) Between 85 and 95 days
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