Source Problem - 2.6 - Just Your Average Circuit!

        Here is an interesting circuit.  There are a number of voltages, V1 through VN, that are attached to a common point at the output node.  For the moment you can assume that the voltage sources are the outputs of LM35 temperature sensors.  It is desired that the output voltage be proportional to the average of all of the voltage inputs.

Your problem is to answer the following questions.