Cartina Technologies make digital cameras. The cost of manufacture per unit at their factory in £, y, is related to output per hour, x, in line with the equation:
(a) How many cameras should be made per hour if they are to minimize the cost per camera?
(b) Determine the second derivative and use it to confirm that the cost equation will be at a minimum when this many cameras are produced.
(c) Calculate the minimum cost per camera.