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
R=45x

Answer 1

x = 5

Therefore, when you sell 5 units, the revenue and the production cost would be equal.

Explanation:

Given

C represents the cost in dollars

C=15x+150

R represents the revenue in dollars

R=45x

To determine

What is the break-even point?

We know that the cost gets equal to revenue at the break-even point.

i.e.

C = R

substitute C=15x+150 and R=45x

15x+150 = 45x

45x - 15x = 150

30x = 150

divide both sides by 30

30x/30 = 150/30

x = 5

Therefore, when you sell 5 units, the revenue and the production cost would be equal.