← OptimisationQuestion 3 of 16 · AS91578

A

The running cost of a ferry, in dollars per kilometre, is C = 0.2v + 500 over v, where v is its speed in km/h.

Only your final answer is marked, not your working.

A(a) Find the speed that gives the lowest running cost. You may assume this gives a minimum.

A(b) Find the lowest running cost.