Question

The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 80I I2 + I + 9 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?

Answer 1

Answer:

At ; I = 3,  P is at maximum

Step-by-step explanation:

P ( I ) = $[ \frac{80 I}{I^2 + I + g } ]$

at  I = 3

P" ( I ) < 0

therefore at  I = 3   the value of P( I ) is at maximum

attached below is the detailed solution