Chapter 4.2, Problem 44E

In Exercises 27–44, calculate total cost (disregarding any fixed costs) or total profit.

44. Total cost from marginal cost. Steve’s Airport Shuttle charges customers a fixed rate per mile, with certain price breaks that are not retroactive. The marginal cost of transporting a passenger $x$ miles is given by

$C\text{'}\left(x\right)=\left\{\begin{array}{l}0.80,0\le x\le \text{1}00\\ 0.60,\text{1}00<x\le \text{1}50\\ 0.45,x>\text{1}50,\end{array}\right.$

where $C\text{'}\left(x\right)$ is in dollars per mile. Find the total cost of transporting a passenger 200 mi.