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