Answer: Selling price, x, = 8.3333 units
Step-by-step explanation:
We can find the vertex by one of two methods:
1) Take the derivative of the equation and set it to zero. The derivative gives us the slope at any point x. The vertex has a slope of zero (it changes direction).
y=-6x^2 + 100x– 180
y' = -12x + 100
0 = -12x + 100
12x = 100
x = 8.333
2) Graph the function and locate the vertex. Attached.
