Tokyo-Moto Quad Racers found that its daily profit, P, in thousands, is given by
P = -8x2 + 96x - 256

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

Tokyo-Moto Quad Racers found that its daily profit, P, in thousands, is given by
P = -8x2 + 96x - 256

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?

anonymous · Answer

find the vertex of the parabola. first coordinate of the vertex is given by $-\frac{b}{2a}$

anonymous · Answer

answer choices are     A. 	32
	
B. 	35
	
C. 	40
	
D. 	38

anonymous · Answer

your job is to compute $-\frac{b}{2a}$ for  $a=-8,b=96$

anonymous · Answer

@satellite73 so out  of the answers choices i listed which would be the one

anonymous · Answer

when you do that, you will get 6
replace x by 6 and find the corresponding P

anonymous · Answer

$$-\frac{96}{2\times (-8)}=\frac{96}{16}=6$$
$$P=-8\times 6^2+96\times 6-256$$

anonymous · Answer

i get 32 but you should check my arithmetic

anonymous · Answer

@satellite73 thank you i love you!

anonymous · Answer

An architect's model of a building uses a scale in which 1/2 inch equals 1 foot. If the width of the building is 60 feet, how many inches will the width be on the model?