Calculate the gross and net profits (in $) and the two profit margins (as %s) for the given company. (Round profit margins to the nearest tenth of a percent.)
Company	Net Sales	Cost of
Goods Sold	Gross
Profit	Operating
Expenses	Net Profit	Gross Profit
Margin (%)	Net Profit
Margin (%)
a countertop installer	$751,500	$487,560	$ 
$177,410	$ 
 %	
 %
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To calculate the gross profit, net profit, and their corresponding margins for the countertop installer company, let’s follow these steps:

### Step 1: Calculate Gross Profit
The formula for **Gross Profit** is:
\[
\text{Gross Profit} = \text{Net Sales} - \text{Cost of Goods Sold}
\]
Given:
- **Net Sales** = $751,500
- **Cost of Goods Sold** = $487,560

So,
\[
\text{Gross Profit} = 751,500 - 487,560 = 263,940
\]

### Step 2: Calculate Net Profit
The formula for **Net Profit** is:
\[
\text{Net Profit} = \text{Gross Profit} - \text{Operating Expenses}
\]
Given:
- **Gross Profit** = $263,940 (from Step 1)
- **Operating Expenses** = $177,410

So,
\[
\text{Net Profit} = 263,940 - 177,410 = 86,530
\]

### Step 3: Calculate Gross Profit Margin
The formula for **Gross Profit Margin** is:
\[
\text{Gross Profit Margin} = \left( \frac{\text{Gross Profit}}{\text{Net Sales}} \right) \times 100
\]
Using:
- **Gross Profit** = $263,940
- **Net Sales** = $751,500

So,
\[
\text{Gross Profit Margin} = \left( \frac{263,940}{751,500} \right) \times 100 \approx 35.1\%
\]

### Step 4: Calculate Net Profit Margin
The formula for **Net Profit Margin** is:
\[
\text{Net Profit Margin} = \left( \frac{\text{Net Profit}}{\text{Net Sales}} \right) \times 100
\]
Using:
- **Net Profit** = $86,530
- **Net Sales** = $751,500

So,
\[
\text{Net Profit Margin} = \left( \frac{86,530}{751,500} \right) \times 100 \approx 11.5\%
\]

### Summary of Results:
- **Gross Profit** = $263,940
- **Net Profit** = $86,530
- **Gross Profit Margin** = 35.1%
- **Net Profit Margin** = 11.5%

Would you like more details on any part of these calculations? 

Here are some related questions for further practice:
1. How would these calculations change if the operating expenses increased by 10%?
2. What would the net profit be if the gross profit margin were 40% instead?
3. How does an increase in net sales affect the profit margins?
4. What impact does reducing the cost of goods sold have on both profit and profit margins?
5. Can we calculate profit margins if only the net profit and net sales are given?

**Tip:** Always double-check each calculation step to ensure accuracy, especially when dealing with profit margins, as small rounding differences can impact percentages.

Calculate the gross and net profits (in $) and the two profit margins (as %s) for the given company. (Round profit margins to the nearest tenth of a percent.)
Company Net Sales Cost of Goods Sold Gross Profit Operating Expenses Net Profit Gross Profit Margin (%) Net Profit Margin (%) a countertop installer $751,500 $487,560 $ $177,410 $ %

Learn how to calculate the gross profit, net profit, gross profit margin, and net profit margin for a countertop installer with net sales of $751,500, cost of goods sold of $487,560, and operating expenses of $177,410. This problem covers key financial calculations and is ideal for students in Grades 9-12.

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