Answer
At a cost of $9500, there will be 105 units made.
Work Step by Step
$$C = x^{2} - 15\times(x) + 50$$ $$9500 = x^{2} - 15\times(x) + 50$$ $$0 = x^{2} - 15\times(x) - 9450$$
Using the quadratic formula: a=1, b=-15, c=-9450 $$x=-b±\frac{\sqrt{b^2-4ac}}{2a}$$ $$x=-(-15)±\frac{\sqrt{-15^2-4(1)(-9450)}}{2(1)}$$ $$x=105, x=-90$$
Since we are asked for the number of units manufactured, then $x$ cannot take a negative value. Hence, at a cost of $9500, there will be 105 units made.
