Question

worth 10 points
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

Answer:

x = 5

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

Step-by-step 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?

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

$\frac{30}{30}x\:=\:\frac{150}{30}$

$x = 5$

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