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?

The number of lawn mowers manufactured was_______?

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?

The number of lawn mowers manufactured was_______?

anonymous · Answer

660

anonymous · Answer

@baru

baru · Answer

aagh wait, lag

baru · Answer

let $n$ be the number of lawn movers
total cost= overhead + (production cost per lawn mover $\times n$)

total cost=34816 + ($388 n$)

this is equation 1

baru · Answer

total cost= average cost $\times n$

total cost= 660n

this is equation 2

baru · Answer

equation 1 and 2 are both equal to total cost

34816+388n= 660n

anonymous · Answer

Thank you for explaining how to solve it.

baru · Answer

sure :)