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

2 answers

minimum cost is at the vertex of the parabola. As usual, that occurs at

x = -b/2a = 10/0.5
20