CPM Homework Help : CCAA8 Problem 11-130

The profit made by ACME Home Construction is represented by the function $y=−x^2+50x$ where $x=$ the number of homes built and $y=$ the profit in thousands of dollars. How many homes should be built to maximize the profit? Hint: Think about the graph of the function.

Hint:

Start by converting the equation to graphing form by completing the square.

More Help:

Does this parabola open up or down?
Where is the vertex?
Does the vertex represent the maximum $y$ -value?

Answer:

$25$ houses

Use the eTool below to graph the function.
Click the link to the right for full version. CCA 11-130 HW eTool