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#### karush

##### Well-known member

- Jan 31, 2012

- 2,928

**Average Cost.**A manufacturer has determined that the total cost

**$C$**of operating a factory is

**$C=0.5x^2+15x+5000$**where

**$x$**is the number of units produced.

At what level of production will the

*average cost*per unit be minimized?

(The average cost per unit is

**$\frac{C}{x}$**)

taking C' and setting to zero I got

**$-15$**but how is this going to give the ans which is

**$x=100$ units**.

thanks for help

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