Tokyo-Moto Quad Racers found that its daily profit, P, in thousands, is given by P = -4x2 + 24x - 15 where x is the number of Quad Racers manufactured daily. Which of the following is the best estimate for the maximum profit the manufacturer can earn per day, in thousands?

Question

anonymous · Answer

@Opcode

anonymous · Answer

@goformit100

goformit100 · Answer

@Opcode

parthkohli · Answer

Find the derivative of the function.$$f'(x)=-8x + 24$$

parthkohli · Answer

Equate that to zero.$$ 0 = -8x + 24$$What do you get for $x$?

parthkohli · Answer

@ScienceBuddy It is obvious that you are goformit100...

parthkohli · Answer

Also when you find the value of $x$, find the value of $P$ for that particular $x$

raden · Answer

alternative :
if given an quadratic equation : ax^2 + bx + c = 0. if a < 0, the graph has the maximum value. to get the max value, u can use the formula :
y = -D/4a (with D is the discriminant, defined that D = b^2-4ac)
so, it can be :
y = -(b^2-4ac)/4a.

raden · Answer

i mean if given f(x) = ax^2 + bx + c, it is a function not an equation