To find: The light intensity for which P is maximum.
The light intensity is maximum at .
Given model: .
Differentiate with respect to I,
For critical points, set
Since the light intensity can never be negative, reject .
Thus, a possible light intensity for the maximum P occurrence is at .
Again differentiate with respect to I,
When , the value of becomes,
Thus, by second derivative test we have a maximum at .
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