Minimizing Costs Suppose the cost per hour incurred in operating a cruise ship is 6a + b?v³ dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.) V = mph

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.1: Quardratic Functions
Problem 71SE: Suppose that the price per unit in dollars ofa cell phone production is modeled by p=450.0125x,...
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Minimizing Costs Suppose the cost per hour incurred in operating a cruise ship is 6a + b?v3 dollars per hour, where a
and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship
be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per
hour.)
V =
mph
Transcribed Image Text:Minimizing Costs Suppose the cost per hour incurred in operating a cruise ship is 6a + b?v3 dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.) V = mph
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