Sara is analyzing the efficiency of a manufacturing process and discovers that the cost of producing $x$ units is given by the quadratic function $$C(x) = 2x^2 - 5x + 12$$, where $C(x)$ is the total cost in dollars of producing $x$ units of materials.
She finds that reducing the cost by $50 can effectively reduce the production capacity. To identify the number of units $x$ that results in this reduced cost, Sara sets up the equation:
$$C(x) - 50 = 0$$
What is the maximum number of units $x$ that can be produced at this reduced cost?