Question

The revenue for a company producing widgets is given by y = -10x2 - 25x + 125, where x is the price in dollars for each widget. The cost of the production is given by y = 60x - 10. Determine the price that will allow the production of the widget to break even.

Answer 1

When they create 3.44 products and make a revenue of $76.027, they will break even.

Explanation:

To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).