SOLUTION: The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For​ example, if the marginal cost of producing the 50th product is​ $

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Question 1138947: The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For​ example, if the marginal cost of producing the 50th product is​ $6.20, it cost​ $6.20 to increase production from 49 to 50 units of output. Suppose the marginal cost C​ (in dollars) to produce x thousand mp3 players is given by the function C(x)=x^2-160x+7800.
A. How many players should be produced to minimize the marginal​ cost?
B. What is the minimum marginal​ cost?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The x-value of the minimum is
+x%5Bmin%5D+=+-b%2F%282a%29+
+x%5Bmin%5D+=+-%28-160%29%2F%282%2A1%29+
+x%5Bmin%5D+=+80+
A.
80 thousand players produced minimize marginal cost
B.
+C%5Bmin%5D+=+x%5E2+-+160x+%2B+7800+
+C%5Bmin%5D+=+80%5E2+-+160%2A80+%2B+7800+
+C%5Bmin%5D+=+6400+-+12800+%2B+7800+
+C%5Bmin%5D+=+1400+
Min marginal cost is $1,400
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Here's the plot:
+graph%28+400%2C+400%2C+-20%2C+160%2C+-400%2C+4000%2C+x%5E2+-+160x+%2B+7800+%29+