Question

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?

Answer 1

Answer:

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.