SOLUTION: A soft-drink manufacturer has daily production costs of C = 70,000 - 120x + 0.055x^2 where C is the total cost (in dollars) and x is the number of units produced. How many un

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Question 4789: A soft-drink manufacturer has daily production costs of
C = 70,000 - 120x + 0.055x^2
where C is the total cost (in dollars) and x is the number of units produced. How many units should be produced each day to yield a minimum cost?
Answer by rapaljer(4551) (Show Source):
You can put this solution on YOUR website!
This graph is actually a parabola opening upward. The minimun cost will occur at the vertex, which is at , where a is the coefficient of and b is the coefficient of x. In this case, a=0.055 and b= -120.

Minimum cost = == = 1090.9 or 1091 units.

Things usually come out better than that, but then life doesn't always come out even, does it?

R^2 at SCC