A quadratic equation always has exactly two solutions. If the quadratic
expression is a perfect square, then they're both the same solution.
The LCM, (Least Common Multiple) of 12 and 30 is 60. You get this because 60 is the lowest number 12 and 30 both go in to.
For this case we have the following equation:
p (x) = 8 + 6x-4x2
We must derive the equation to find the maximum of the function.
We have then:
p '(x) = 6-8x
We match zero:
6-8x = 0
We clear x:
8x = 6
x = 6/8
x = 3/4
x = 0.75 speakers
Answer:
should be sold 0.75 thousand boombotix speakers to maximize profit