Question

If P(x) = 8 + 7x – 10x² represents the profit in selling a thousand Boombotix speakers, how
many speakers should be sold to maximize profit?

Answer 1

Answer:

350

Step-by-step explanation:

P(x) = 8 + 7x – 10x² = -10x² + 7x +8

The coefficient of x² is -10, the parabola has a maximum

x(max) = - (7 / 2 x (-10)) = 7 / 20

speakers should sold: 1000 x 7/20 = 350