SOLUTION: The daily production costs C( in dollars per unit) for a manufacturer of lighting fixtures are given by the quadratic function C(X)=800-10X+0.25X2 where x is the number of units pr
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Question 1033491: The daily production costs C( in dollars per unit) for a manufacturer of lighting fixtures are given by the quadratic function C(X)=800-10X+0.25X2 where x is the number of units produced. How many fixtures should be produced to yield a minimum cost per unit?
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
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The daily production costs C( in dollars per unit) for a manufacturer of lighting fixtures are given
by the quadratic function C(X)=800-10X+0.25X2 where x is the number of units produced. How many fixtures should be produced
to yield a minimum cost per unit?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Use the formula for the vertex of a parabola x = .
In your case b = -10, a = 0.25.
Hence, X = = = 40.
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