Question 1196018: A bottle manufacturer has a daily production cost of C=1600-10x+0.25x2. How many bottles should be produced each day to have a minimum cost? Answer by ikleyn(52778) (Show Source):
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A bottle manufacturer has a daily production cost of C=1600-10x+0.25x2.
How many bottles should be produced each day to have a minimum cost?
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They want you find the minimum of the quadratic function C(x) = 1600 - 10x + 0.25x^2.
The minimum is achieved at x = , where "a" is the coefficient
at the quadratic term x^2 and "b" is the coefficient at the linear term.
In your case, a = 0.25, b= -10, therefore
= = = = 20.
ANSWER. 20 bottles should be produced each day.
