3. The speed of traffic through the Lincoln Tunnel depends on the density of the traffic. Let S be the speed in miles per hour and D be the density in vehicles per mile. The relationship between S and D is D approximately S = 42- for Ds100. Find the density that will maximize the hourly flow.

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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3. The speed of traffic through the Lincoln Tunnel depends on the density of the traffic. Let S be the
speed in miles per hour and D be the density in vehicles per mile. The relationship between S and D is
approximately S = 42- for Ds100. Find the density that will maximize the hourly flow.
4. A commercial cattle company currently allows 20 steer per acre of grazing land. On average a steer
weighs 2000 pounds at the market. Estimates by the Department of Agriculture indicate that the
average weight per steer will be reduced by 50 pounds for each additional steer added per acre of
grazing land. How many steer per acre should be allowed in order to optimize the total market weight
of the cattle?
Transcribed Image Text:3. The speed of traffic through the Lincoln Tunnel depends on the density of the traffic. Let S be the speed in miles per hour and D be the density in vehicles per mile. The relationship between S and D is approximately S = 42- for Ds100. Find the density that will maximize the hourly flow. 4. A commercial cattle company currently allows 20 steer per acre of grazing land. On average a steer weighs 2000 pounds at the market. Estimates by the Department of Agriculture indicate that the average weight per steer will be reduced by 50 pounds for each additional steer added per acre of grazing land. How many steer per acre should be allowed in order to optimize the total market weight of the cattle?
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