Question

Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if necessary. C=15x+150 And R=45x

Answer 1

`x = 5`

`R = C = 225`

Explanation:

Given

`C = 15x + 150`

`R = 45x`

Required

The break even point

To do this, we make use of:

`R =C`

`45x=15x + 150`

Collect Like Terms

`45x-15x = 150`

`30x = 150`

`x = 5`

Substitute 5 for x in
`R = 45x`

`R = 45 * 5`

`R = 225`

Hence, the break even point is:

`x = 5`

`R = C = 225`