WRITE COMPLETE SOLUTION
9. Suppose Paramecium caudatum cultured in a batchreactor obeys the logistic function
X(t) =20,000/3.0 + 50e^−0.01t  ; {t ϵ + â„}
Where:
         X(t) =organism count
          t     = time, hours
a. Determine the carrying capacity of the population.
b. Determine the time when the maximum growth rate isexpected.
c. Determine the organism count added between the quarter of themaximum growth rate to
three-quarters of the maximum growth rate.
