Question

A lawn mower manufacturer incurs a total of 34,816 in overhead costs and 388 per lawn mower in production costs. How many lawn mowers were manufactured if the average cost of productions is 660

Answer 1

Answer:

128 lawn mowers were manufactured.

Step-by-step explanation:

Let's call z the number of manufactured lawn mowers

The general expenses are: $ 34 816

The costs per lawn mower are $388(z)

We know that:

Total cost (c) = Variable cost + fixed cost

So

$c = \ 388(z) + \ 34\ 816$

The average cost of production Cp is equal to c/z

So:

$Cp = \frac{388(z) + 34816}{z}\\\\Cp = 388 + \frac{34816}{z}$

We know that Cp = 660.

Finally:

$660 = 388 + \frac{34816}{z}\\\\z = \frac{34816}{272}\\\\z = 128$