https://file.aiquickdraw.com/mathbot/file/17273980753086ip4b5ic.jpg

From the image, the problem asks the following:

Lin Corporation has a single product whose:
- Selling price is \$134 per unit
- Variable expense is \$67 per unit
- Monthly fixed expense is \$32,300

You are asked to:
1. **Calculate the unit sales needed** to attain a target profit of \$7,900 (without rounding intermediate calculations).
2. **Calculate the dollar sales needed** to attain a target profit of \$8,600 (rounding intermediate calculations to the nearest whole number).

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### Solution Steps:

#### 1. **Unit sales to attain a target profit of \$7,900**:
We use the formula for **required unit sales**:

\[
\text{Unit sales} = \frac{\text{Fixed expenses} + \text{Target profit}}{\text{Selling price per unit} - \text{Variable cost per unit}}
\]

Given:
- Fixed expenses = \$32,300
- Target profit = \$7,900
- Selling price per unit = \$134
- Variable cost per unit = \$67

\[
\text{Unit sales} = \frac{32,300 + 7,900}{134 - 67}
\]

#### 2. **Dollar sales to attain a target profit of \$8,600**:
The formula for **required dollar sales** is:

\[
\text{Dollar sales} = \frac{\text{Fixed expenses} + \text{Target profit}}{\text{Contribution margin ratio}}
\]

Where the **contribution margin ratio** is:

\[
\text{Contribution margin ratio} = \frac{\text{Selling price per unit} - \text{Variable cost per unit}}{\text{Selling price per unit}}
\]

Let's calculate these next.### Answers:
1. **Unit sales needed** to attain a target profit of \$7,900:  
   $\boxed{600}$ units.

2. **Dollar sales needed** to attain a target profit of \$8,600:  
   $\boxed{81,800}$ dollars.

Would you like further details on these calculations, or do you have any other questions?

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Here are 5 related questions to expand your understanding:
1. How does the contribution margin affect the breakeven point?
2. How would a change in variable costs impact the unit sales required to reach a target profit?
3. What happens to required dollar sales if fixed expenses increase?
4. How is the contribution margin ratio useful in decision-making?
5. How can Lin Corporation lower the sales needed to achieve its profit goals?

**Tip:** Understanding the contribution margin ratio helps you estimate how much each dollar of sales contributes to covering fixed costs and profit.

Lin Corporation has a single product whose selling price is $134 per unit and whose variable expense is $67 per unit. The company's monthly fixed expense is $32,300. 

Required:
1. Calculate the unit sales needed to attain a target profit of $7,900. (Do not round intermediate calculations.)
2. Calculate the dollar sales needed to attain a target profit of $8,600. (Round your intermediate calculations to the nearest whole number.)

Learn how to calculate the unit sales and dollar sales needed for Lin Corporation to achieve target profits of $7,900 and $8,600, respectively. This problem involves key financial concepts like fixed costs, variable costs, contribution margin ratio, and profit calculation.

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