Glazzy Opticon performs laser eye surgery in a purpose-built facility. The cost per operation in £, y, depends on the number of operations conducted per week, x, as follows:
(a) How many operations should be undertaken per week to minimize the cost per operation?
(b) Confirm by means of the second derivative that the cost equation will reach a minimum when this many operations are performed.
(c) What is the minimum cost per operation?