Question

The average cost when producing x items is found by dividing the cost function, C(x), by the number of items, x. When is the average cost less than 100, given the cost function is C(x) = 10x + 180?

Answer 1

Answer:

The average cost is less than 100 when the number of items x is greater than 2

Step-by-step explanation:

The cost equation is $C(x) = 10x + 180$

The average cost $Cp = \frac{C(x)}{x}$

We want to know when the cost Cp is less than 100.

So

$Cp$

$Cp = \frac{C(x)}{x}$

$10 + \frac{180}{x}$

For $x> 0$

$\frac{180}{90}$

$x> 2$

The average cost is less than 100 when $x>2$