The cost of operating a large ship (CO) varies as the square of its velocity (v); specifically, CO = knv2, where n is the trip length in miles and k is a constant of proportionality. It is known that at 12 miles/hour, the average cost of operation is $100 per mile. The owner of the ship wants to minimize the cost of operation, but it must be balanced against the cost of the perishable cargo (Cc), which the customer has set at $1,500 per hour. At what velocity should the trip be planned to minimize the total cost (CT), which is the sum of the cost of operating the ship and the cost of perishable cargo?
The cost of operating a large ship (CO) varies as the square of its velocity (v); specifically, CO = knv2, where n is the trip length in miles and k is a constant of proportionality. It is known that at 12 miles/hour, the average cost of operation is $100 per mile. The owner of the ship wants to minimize the cost of operation, but it must be balanced against the cost of the perishable cargo (Cc), which the customer has set at $1,500 per hour. At what velocity should the trip be planned to minimize the total cost (CT), which is the sum of the cost of operating the ship and the cost of perishable cargo?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The cost of operating a large ship (CO) varies as the square of its velocity (v); specifically, CO = knv2, where n is the trip length in miles and k is a constant of proportionality. It is known that at 12 miles/hour, the average cost of operation is $100 per mile. The owner of the ship wants to minimize the cost of operation, but it must be balanced against the cost of the perishable cargo (Cc), which the customer has set at $1,500 per hour. At what velocity should the trip be planned to minimize the total cost (CT), which is the sum of the cost of operating the ship and the cost of perishable cargo?
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