Chapter 5.5, Problem 1E

Reminder Round all the answers to two decimal places unless otherwise indicated.

Sales Growth The rate of growth $G$, in thousands of dollars per year, in sales of a certain product is a function of the current sales level $s$, in thousands of dollars, and the model uses a quadratic function:

$G=1.2s-0.3s^2$.

The model is valid up to a sales level of $4$ thousand dollars.

a. Draw a graph of $G$ versus $s$.

b. Express using functional notation the rate of growth in sales at a sales level of $\$2260$, and then estimate that value.

c. At what sales level is the rate of growth in sales maximized?