The growth rate of a particular species of fish is modeled by G(x) = 0.02x (1 – 700000 where x is the number of fish. The fish are being harvested at a yearly rate H, which is sustainable only if there is a positive number x where H = G(x). Determine the largest sustainable harvesting rate for this species. а) 2050 fish per year b) 4300 fish per year c) 5800 fish per year d) 3500 fish per year

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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The growth rate of a particular species of fish is modeled by
G(x)
= 0.02x (1
700000
where x is the number of fish. The fish are being harvested
at a yearly rate H, which is sustainable only if there is a
positive number x where H = G(x). Determine the largest
sustainable harvesting rate for this species.
a)
2050 fish per year
b)
4300 fish per year
c)
5800 fish per year
O d)
3500 fish per year
Transcribed Image Text:The growth rate of a particular species of fish is modeled by G(x) = 0.02x (1 700000 where x is the number of fish. The fish are being harvested at a yearly rate H, which is sustainable only if there is a positive number x where H = G(x). Determine the largest sustainable harvesting rate for this species. a) 2050 fish per year b) 4300 fish per year c) 5800 fish per year O d) 3500 fish per year
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