A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is 200 + 3/q
q
. The cost per item to produce q items in factory B is
300 + q/
3q
. Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.

The average cost per item to produce q items in each factory is