The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function p = 90i i2 + i + 9 where i is the light intensity (measured in thousands of foot-candles). for what light intensity is p a maximum?

At light intensity I = 3, is P a maximum

Explanation:

Given:

now differentiating the above equation with respect to Intensity 'I' we get

or

or

or

Now for the maxima

thus,

or

or

or

or

I = 3

thus, for the value of intensity I = 3, the P is maximum

at I = 3

or

or

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