In: Advanced Math
Suppose that a bacterial count satisfies the logistic hypothesis. The initial count is 450 organisms / mL and the maximum sustainable count is 10,000 organisms / mL. The count is found to increase 18% in the first 12 hours. Establish and solve an Initial Value Problem to express the count as a function of time, graph this function and calculate how long the count reaches 8,000 organisms / mL.