The optimum yield of a given population is 400, the initial value is 100, and the population would, in the absence of constraints, grow by 22% per year. a) Find the formula for the logistic model using the above information. b) Determine how long it will be before the population reaches 535.

This exercise uses the population growth model. It is observed that a certain bacteria culture has a relative growth rate of 11% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 24. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is present, so the relative growth rate is 11%.bacteria (b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.bacteria