Respuesta :
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.
242 DVD/Blu-ray players were produced
Marginal cost is the change in cost as a result of producing additional number of units.
Given that the marginal cost is:
C = 0.03x² - 8x + 700
Therefore for a marginal cost of $522, the number of DVD players is:
522 = 0.03x² - 8x + 700
0.03x² - 8x + 178 = 0
x = 24 and x = 242
Therefore 242 DVD/Blu-ray players were produced
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