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#31384

applications

polynomials

functions

medium

75 sec

A company's daily profit $P (x)$ , in thousands of dollars, from selling $x$ units of a certain item is modeled by the function $P (x) = - 0.5 x^{2} + 15 x$ , where $x$ is the number of units sold, in hundreds. The graph of $y = P (x)$ intersects the x-axis at $x = 0$ and $x = k$ . What is the total number of units sold that would result in zero profit?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.