SPS SPS SM 2021 January — Question 9

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2021
SessionJanuary
TopicDifferentiation Applications
TypeFind stationary points

9. The total cost \(C\), in \(\pounds\), for a certain car journey, is modelled by $$C = \frac { 200 } { V } + \frac { 2 V } { 25 } , V > 30 ,$$ where \(V\) is the average speed in miles per hour.
a) Find the value of \(V\) for which \(C\) is stationary.