certain electronics manufacturer found that the marginal cost C to produce x DVD/Blu - ray players can be found using the equation C = 0.03 x 2 - 8 x + 700. If the marginal cost were $522, how many DVD/Blu-ray players were produced?

242.

Step-by-step explanation:

C = 0.03 x 2 - 8 x + 700

When the marginal cost = $522 we have:

522 = 0.03 x 2 - 8 x + 700

0.03x^2 - 8x + 700 - 522 = 0

0.03x^2 - 8x + 178 = 0

Using the quadratic formula:

x = [ - (-8) + / - sqrt (64 - 4 * 0.03 * 178) ] / 0.06

= 8 + / - sqrt42.64 / 0.06

= 242 players.