Quandaries
and Queries 

A company that sells x units of a product generates an income (I, in dollars) which is a function of x. The income generated is described by the equation I = (1/2)x^{2} + 100x. Discuss how to determine the number of units that must be sold so that
the company can maximize its income. What is the maximum income? 

Hi Connie, I am not sure what is expected but I would sketch a graph of the function
You can solve
to see where the graph crosses the xaxis, and then either sketch a few points or use the fact that the graph is a parabola that opens downward to sketch the graph.
From the graph you can see the value of x that maximizes the income. Penny 

