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Question:
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This is AI generated Response.
Asked by: Rohit Vaghela
Created at: 2026-01-18 10:42:17
Asked by: Rohit Vaghela
Created at: 2026-01-18 10:42:17
Final Answer:
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Let's break down the problem step by step:
---
### **Given Data**
- **Gross sales:** \$454,000
- **Cost of goods sold and selling, general and administrative expenses:** \$353,200
- **Interest expense:** \$18,000
- **Interest rate:** 6 percent
- **Tax rate:** 21 percent
---
### **a. What was the company’s net income?**
#### **Step 1: Calculate Earnings Before Interest and Taxes (EBIT)**
\[
\text{EBIT} = \text{Gross Sales} - \text{COGS and SGA Expenses}
\]
\[
\text{EBIT} = \$454,000 - \$353,200 = \$100,800
\]
---
#### **Step 2: Subtract Interest Expense to get Earnings Before Tax (EBT)**
\[
\text{EBT} = \text{EBIT} - \text{Interest Expense}
\]
\[
\text{EBT} = \$100,800 - \$18,000 = \$82,800
\]
---
#### **Step 3: Calculate Tax**
\[
\text{Tax} = \text{EBT} \times \text{Tax Rate}
\]
\[
\text{Tax} = \$82,800 \times .21 = \$17,388
\]
---
#### **Step 4: Calculate Net Income**
\[
\text{Net Income} = \text{EBT} - \text{Tax}
\]
\[
\text{Net Income} = \$82,800 - \$17,388 = \$65,412
\]
---
**Rounded to the nearest whole number:**
\[
\boxed{65,412}
\]
---
### **b. What was the company’s operating cash flow?**
Operating Cash Flow (OCF) can be calculated as:
\[
\text{OCF} = \text{Net Income} + \text{Non-cash expenses (Depreciation)} + \text{Interest Expense} \times (1 - \text{Tax Rate})
\]
But here, we don't see depreciation mentioned, so we use this alternate formula:
\[
\text{OCF} = \text{EBIT} \times (1 - \text{Tax Rate}) + \text{Depreciation}
\]
Since depreciation isn’t provided, we assume it is zero:
\[
\text{OCF} = \text{EBIT} \times (1 - \text{Tax Rate}) + \text{Depreciation}
\]
\[
\text{OCF} = \$100,800 \times (1 - .21)
\]
\[
\text{OCF} = \$100,800 \times .79 = \$79,632
\]
---
**Rounded to the nearest whole number:**
\[
\boxed{79,632}
\]
---
### **Summary Table**
| Item | Value |
|---------------|----------|
| Net Income | 65,412 |
| Operating CF | 79,632 |
---
**Let me know if you have any questions or need further explanation!**
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