Question: 3.3 Glazoptics plc performs laser eye surgery in a purpose-built facility. The cost per operation in , y , depends on the number of operations

3.3 Glazoptics plc 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:

y =

x2 2 - 36x + 1300

(a) How many operations should be undertaken per week to minimise the cost per operation?

(b) Confi rm 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?

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