https://file.aiquickdraw.com/mathbot/file/1725917021784yv8j0bwe.jpg

To solve the problem, we need to calculate the break-even point for the company.

### Given information:
- Fixed cost (for purchasing the printing press): \$3000
- Variable cost per magazine: \$0.15
- Sale price per magazine: \$1.75

### Formula for break-even point:
The break-even point occurs when the total revenue equals the total cost. This can be expressed as:

\[
\text{Total Revenue} = \text{Total Cost}
\]

The total cost is the sum of fixed costs and the variable cost per magazine. If $x$ represents the number of magazines sold to break even, the equation is:

\[
1.75x = 3000 + 0.15x
\]

Now, we can solve this equation.

First, subtract $0.15x$ from both sides:

\[
1.75x - 0.15x = 3000
\]

Simplifying the left-hand side:

\[
1.60x = 3000
\]

Now, divide both sides by 1.60:

\[
x = \frac{3000}{1.60} = 1875
\]

Thus, the company needs to sell **1,875 magazines** to break even.

The correct answer is **1875**.

Would you like more details on the calculation? Here are 5 related questions:

1. What is the profit per magazine after the break-even point?
2. How does increasing the sale price affect the break-even point?
3. How would changing the variable cost to \$0.20 affect the break-even number?
4. What if the fixed cost for the press were \$4000 instead—how many magazines would need to be sold?
5. What is the total revenue and total cost at the break-even point?

**Tip:** In business problems like this, knowing the break-even point helps determine when a product or service starts generating profit.

A company wants to purchase a magazine printing press for $3000. It costs $0.15 to print each magazine. If they sell each copy for $1.75, how many magazines do they need to sell to break even?

Learn how to calculate the break-even point for selling magazines with a fixed cost of $3000 and a variable cost of $0.15 per magazine. Find out how many magazines must be sold at $1.75 each to break even. Suitable for students in Grades 9-11.

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