Answer:
43.9 cents
Explanation:
The break even point is equivalent to find the roots of the equation. Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a} [/tex]
[tex]x = \frac{-48 \pm \sqrt{48^2 -4(-1)(-180)}}{2(-1)} [/tex]
[tex]x = \frac{-48 \pm 39.8}{-2} [/tex]
[tex]x_1 = \frac{-48 + 39.8}{-2} [/tex]
[tex]x_1 = 4.1[/tex]
[tex]x_2 = \frac{-48 - 39.8}{-2} [/tex]
[tex]x_2 =43.9 [/tex]
I'm discarding 4.1 cents price for being too low. 43.9 cents seems to me more reasonable.
