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Home > CCA > Chapter 11 > Lesson 11.3.5 > Problem 11-130


The profit made by ACME Home Construction is represented by the function y = −x2 + 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. 11-130 HW eTool (Desmos). Homework Help ✎

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

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

25 houses

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