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