(a) Draw a logistic curve. Label the carrying capacity L and the point of diminishing returns t₀.
(b) Draw the derivative of the logistic curve. Mark the point t₀ on the horizontal axis.
(c) A company keeps track of the rate of sales (for example, sales per week) rather than total sales. Explain how the company can tell on a graph of rate of sales when the point of diminishing returns is reached.