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Social animals that live in groups can spend less time scanning for predators than solitary individuals. However, they waste time fighting with the other group members over the available food. There is some group size at which the net benefit is greatest because the animals spend the least time on these unproductive activities- and thus can spend time on feeding, mating, etc. Assume that for a group of size x, the fraction of time spent scanning for predators is S(x) = 254 and the fraction of time spent fighting with other animals over food is F(x) = 6.3(x + 1) Find the size of the group for which the time wasted on scanning and fighting is smallest. Round your answer to two decimals.

Social animals that live in groups can spend less time scanning for predators than solitary individuals. However, they waste time fighting with the other group members over the available food. There is some group size at which the net benefit is greatest because the animals spend the least time on these unproductive activities- and thus can spend time on feeding, mating, etc. Assume that for a group of size x, the fraction of time spent scanning for predators is S(x) = 254 and the fraction of time spent fighting with other animals over food is F(x) = 6.3(x + 1) Find the size of the group for which the time wasted on scanning and fighting is smallest. Round your answer to two decimals.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Social animals that live in groups can spend less time scanning for predators than solitary individuals. However, they waste time fighting with the other group members over the available food. There is some group size at which the net benefit is greatest because the animals spend the least time on these unproductive activities- and thus can spend time on feeding, mating, etc. Assume that for a group of size x, the fraction of time spent scanning for predators is S(x) = 254 and the fraction of time spent fighting with other animals over food is F(x) = 6.3(x + 1) Find the size of the group for which the time wasted on scanning and fighting is smallest. Round your answer to two decimals.
Transcribed Image Text:Social animals that live in groups can spend less time scanning for predators than solitary individuals. However, they waste time fighting with the other group members over the available food. There is some group size at which the net benefit is greatest because the animals spend the least time on these unproductive activities- and thus can spend time on feeding, mating, etc. Assume that for a group of size x, the fraction of time spent scanning for predators is S(x) = 254 and the fraction of time spent fighting with other animals over food is F(x) = 6.3(x + 1) Find the size of the group for which the time wasted on scanning and fighting is smallest. Round your answer to two decimals.
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