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To solve the given problem and find the break-even point, we need to follow a basic break-even analysis approach. Let's break down the given dataTo solve the given problem and find the break-even point, we need to follow a basic break-even analysis approach. Let's break down the given 

- Fixed costs = $80,000 per month
- Variable cost per unit = $21
- Selling price per unit = $33

The break-even point (in units) occurs when total costs equal total revenues. The formula for the break-even point in units is:

\[
\text{Break-even point (units)} = \frac{\text{Fixed costs}}{\text{Selling price per unit} - \text{Variable cost per unit}}
\]

Substitute the given values:

\[
\text{Break-even point (units)} = \frac{80,000}{33 - 21} = \frac{80,000}{12} = 6666.67
\]

So, the manufacturer needs to produce and sell approximately 6667 units to break even.

Now, let's check the options in the image:

- The first option is $\left( \frac{80000}{33}, 22000 \right)$, but it doesn't match.
- The second option is $\left( \frac{40000}{27}, 0 \right)$, which doesn't match either.
- The third option is (0, 3200), also incorrect.
- The fourth option is $\left( 220000, \frac{20000}{3} \right)$, incorrect.
- The fifth option is $\left( \frac{20000}{3}, 220000 \right)$, also incorrect.

Thus, **none of the options** match the calculated break-even point.

Would you like more details on any of the steps? Here are five questions that expand on this:

1. What is the difference between fixed costs and variable costs?
2. How is the break-even point affected by changes in selling price or production cost?
3. Can you calculate the revenue at the break-even point?
4. How can you calculate the break-even point in terms of dollars instead of units?
5. What happens if fixed costs increase? How does that impact the break-even point?

**Tip**: Always double-check your units (units sold or dollars) when interpreting break-even points, as this avoids confusion in real-world applications.

A manufacturer has a monthly fixed cost of $80,000.00 and a production cost of $21 for each unit produced. The product sells for $33 per unit. Find the break-even point.

Calculate the break-even point for a manufacturer with $80,000 fixed costs, $21 production cost per unit, and a $33 selling price. Understand how to apply the break-even analysis formula to determine the number of units required to cover costs.

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