Question

**WILL MEDAL**
The cost for Andrea to produce several units of a certain item is $336 plus $12 per unit. She sells this item for $28 per unit.

How many units of the item must she produce and sell so that the amount of money she earns in sales equals the amount of money she spends in production costs? How much money would that be?

She would have to produce and sell _ units of the item. Her costs and her earnings would both equal $ _ .

Answer 1

She would have to sell 21?
Both cost and earnings would be equal $588?

Answer 2

12x + 336 is the equation for the production right?

Answer 3

21 units, it would be $588.

Answer 4

So I'm right?

Answer 5

Where each unit costs $12 (so 12x for $12/x-units) plus the original $336.

This is 12x + 336.

Now each unit she sells is $28/unit.

Lets see where on a graph they intersect.

Answer 6

Well let me see...

Answer 7

I guess so. @*louisa*

Answer 8

12x + 336 = 28x
16x = 336
x=21

So after 21 units she has made up for the cost.

Answer 9

21 units at $28/each is $588, yes, you got it!!

Answer 10

Very good.

Answer 11

Thx

Answer 12

No prob.

Answer 13

@Cosmichaotic :( no medal

Answer 14

Very nice explanation, @Cosmichaotic. :)