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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

Can someone help please!?!

2 Answers

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Final answer:

The break-even point is achieved when 5 units are sold since this is the point where cost equals revenue, resulting in no profit or loss.

Step-by-step explanation:

The break-even point occurs when the cost C is equal to the revenue R. Given the cost function C = 15x + 150 and the revenue function R = 45x, we find the break-even point by setting them equal to each other and solving for x:

15x + 150 = 45x

To find the solution, we subtract 15x from both sides:

150 = 30x

Dividing both sides by 30 gives us:

x = 5

At x = 5, the break-even point is achieved because, at this quantity, the total costs and total revenue are the same, meaning there is neither profit nor loss.

User Gardner
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If you're looking for a coordinate it should be (5,225)
User Adreana
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