Consider a situation where there are bears around your campus. Since bears harm our campus life, a student group decides to remove bears from the mountain behind the campus. The removal cost is described by: C(y, æ) = | (2)dz, x-y where x is the number of existing bears before removals, and y is the number of removals such that 0 < y < x. The function c(z) is a sort of the unit cost function, which is simply specified as c(z) = x-º, where the pa- rameter 0 (0 > 0 and 0 # 1) represents how easy you can catch a bear in the field of biology. Find the total cost of eradication of bears (i.e., y = x) as a function of x and 0. Show that if 0 > 1, the student group Dro the Oredigotion of hoorg

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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Consider a situation where there are bears around your campus. Since bears harm our campus life, a student
group decides to remove bears from the mountain behind the campus. The removal cost is described by:
C(y, x) = | c(2)dz,
x-y
where x is the number of existing bears before removals, and y is the number of removals such that 0 < y< x.
The function c(2) is a sort of the unit cost function, which is simply specified as c(2) = x¯°, where the pa-
rameter 0 (0 > 0 and 0 7 1) represents how easy you can catch a bear in the field of biology. Find the total
cost of eradication of bears (i.e., y = x) as a function of x and 0. Show that if 0 > 1, the student group
cannot achieve the eradication of bears.
Transcribed Image Text:Consider a situation where there are bears around your campus. Since bears harm our campus life, a student group decides to remove bears from the mountain behind the campus. The removal cost is described by: C(y, x) = | c(2)dz, x-y where x is the number of existing bears before removals, and y is the number of removals such that 0 < y< x. The function c(2) is a sort of the unit cost function, which is simply specified as c(2) = x¯°, where the pa- rameter 0 (0 > 0 and 0 7 1) represents how easy you can catch a bear in the field of biology. Find the total cost of eradication of bears (i.e., y = x) as a function of x and 0. Show that if 0 > 1, the student group cannot achieve the eradication of bears.
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