Transcribed Image Text: Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 N = -2.61t’ 1 + 3.6e
Transcribed Image Text: Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded
148
N =
-2.61t’
1 + 3.6e
where t is measured in years and N is measured in thousands of tons of fish.t
(a) is the r value for the Eastern Pacific yellowfin tuna?
r =
per yr
(b) is the carrying capacity K for the Eastern Pacific yellowfin tuna?
K =
thousand tons
(c) is the optimum yield level?
thousand tons
(d) Use your calculator to graph N against t.
200
200
180
180
160
160
140
140
120
120
N 100
N 100
80
80-
60
60-
40
40
20
20
2
4
6.
10
12
2
6
8
10
12
200
200
180
180
160
160
140
140
120
120
N 100
N 100
80
80
60
60
40
40
20
20
4
6
8
10
12
2
4
6
8
10
12
(e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.)
yr
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