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 production is $660?

Answer 1

There are 128 law mowers manufactured.

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-Dawn

Answer 2

128 lawn mowers

Explanation:

Given,

The overhead cost = $ 34,816,

The cost for one lawn mower = $ 388,

Let x be the number of lawn mowers manufactured,

So, the total cost of x lawn mowers = 34816 + 388x,

Now, if the average cost of x mowers = $ 660,

So, the total cost = 660x

`\implies 660x = 34816 + 388x`

`660x - 388x = 34816`

`272x= 34816`

`\implies x = (34816)/(272)=128`

Hence, 128 lawn mowers were manufactured.