The cost of operating a large ship (Co) varies as the square of its velocity (v); specifically, Co = knv", where n is the trip length in miles and k is a constant of proportionality. It is known that at 14 mi/hr, the average cost of operation is $135 per mile. Th 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 $120 per hour. For a trip length of 10 mi, (a) at what velocity should the trip be planned to minimize the total cost (CT), (b) Verify if the answer in (a) minimizes the total cost (c) What is the total cost at the optimum velocity?. Attach Gile
The cost of operating a large ship (Co) varies as the square of its velocity (v); specifically, Co = knv", where n is the trip length in miles and k is a constant of proportionality. It is known that at 14 mi/hr, the average cost of operation is $135 per mile. Th 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 $120 per hour. For a trip length of 10 mi, (a) at what velocity should the trip be planned to minimize the total cost (CT), (b) Verify if the answer in (a) minimizes the total cost (c) What is the total cost at the optimum velocity?. Attach Gile
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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