A farmer has collected data from one of his crops. Suppose the farmer found that the number of seeds, () S ( t ) , produced by a plant maturing at age t (in weeks) was ()=24 S ( t ) = t 2 4 seeds per mature plant. Further, the farmer discovered that only ()=11.76−24+3961.752+764.8 P ( t ) = 11.76 − t 2 4 + 3961.75 t 2 + 764.8 t plants matured to age t . Determine the maximum rate of change of the crop's seed production. (answers rounded down)