Make the corresponding balances to obtain the equations that describe the dynamics

(one equation for biomass, one for substrate, another for product and the global) of a

fed batch fermentation.

Consider the following conditions:

a) The food is sterile.

b) The feed rate is constant

c) The properties of the culture medium do not change.

d) The Monod equation adequately describes the growth kinetics of the microorganism.

e) Ignore the specific rate of death and the rate of maintenance of metabolism.

f) There is production of product whose speed of synthesis is proportional to the concentration

of biomass.