A ship travels between ports, A and B, which is a total distance of D. The cost per-hour of operating the ship is c(v) = w + v", where w > 0 represents the hourly wages of the ship's employees, v is the ship's velocity, and n 2 2 is a parameter. The objective is to choose v so that the trip is made at minimum cost. (Hint: velocity is equal to distance divided by the time taken on the trip, or what is the same, time taken is equal to distance divided by velocity) 1. Assume that v = 2. Find the expression for the indirect cost function, and consider its first two derivatives with D and with w.

A ship travels between ports, A and B, which is a total distance of D. The cost per-hour of operating the ship is c(v) = w + v", where w > 0 represents the hourly wages of the ship's employees, v is the ship's velocity, and n 2 2 is a parameter. The objective is to choose v so that the trip is made at minimum cost. (Hint: velocity is equal to distance divided by the time taken on the trip, or what is the same, time taken is equal to distance divided by velocity) 1. Assume that v = 2. Find the expression for the indirect cost function, and consider its first two derivatives with D and with w.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

A ship travels between ports, A and B, which is a total distance of D. The cost per-hour
of operating the ship is c(v) = w +v", where w > 0 represents the hourly wages of the
ship's employees, v is the ship's velocity, and n 2 2 is a parameter. The objective is to
choose v so that the trip is made at minimum cost. (Hint: velocity is equal to distance
divided by the time taken on the trip, or what is the same, time taken is equal to
distance divided by velocity)
1. Assume that v = 2. Find the expression for the indirect cost function, and
consider its first two derivatives with D and with w.

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