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

Algebra ->  Quadratic Equations and Parabolas -> 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      Log On


   

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(52781) About Me  (Show Source):
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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?
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Use the formula for the vertex of a parabola x = -b%2F2a.

In your case b = -10, a = 0.25.

Hence, X = -%28%28-10%29%2F0.25%29 = 10%2F0.25 = 40.