Minimizing Costs Suppose the cost per hour incurred in operating a cruise ship is 6a + b²v³ 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 = 0 mph

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.1: Quadratic Functions And Models
Problem 69E: Minimum Cost A manufacturer of lighting fixtures has daily production costs of C=80010x+0.25x2,...
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Minimizing Costs Suppose the cost per hour incurred in operating a cruise ship is 6a + b²v³ 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 = 0
mph
Transcribed Image Text:Minimizing Costs Suppose the cost per hour incurred in operating a cruise ship is 6a + b²v³ 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 = 0 mph
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