## anonymous one year ago A manufacturer of gas grills has daily production costs of C = 400 – 5x + 0.125x2, where x is the number of gas grills produced. How many units should be produced each day to yield a minimum cost?

1. amoodarya

|dw:1436384081867:dw| hint : it is a quadratic function , so find minimum by finding c'(x) c'(x)=0 x_min is the root(s) of c'=0

2. anonymous

$C = 400 – 5x + 0.125x^2,$ right?

3. anonymous

minimum is the second coordinate of the vertex first coordinate of the vertex is always $-\frac{b}{2a}$ which in your case is $-\frac{-5}{2\times .125}=20$

4. anonymous

oh they just want the number to make, that answer is 20