word problem

Question

The point at which a? company's costs equal its revenues is the ? break-even point. C represents the? cost, in? dollars, of x units of a product and R represents the? revenue, in? dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That? is, find the value of x for which
Cequals=R.



C=16x+32,000
and
R=18x.

Answer 1

Hi Amy,

 

You're practically there.

 

If cost must equal revenue, then

 

16x + 32000 = 18x

 

We can solve this for x

32000 = 2x

16000 = x

 

Must sell 16,000 units to break even.

Answer 2

When you have a question like this, you can set the equations equal to each other and solve for x:

 

18x = 16x+32000

2x = 32000

x = 16000