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Question:
i need step by step solution
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This is AI generated Response.
Asked by: ROHIT
Created at: 2026-01-15 05:21:03
Asked by: ROHIT
Created at: 2026-01-15 05:21:03
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Sure! Here is a step-by-step solution for the problem shown in your image.
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## **Step-by-Step Solution**
### **Restate the Problem**
You are comparing two machines (VOODOO and MAGICIAN) for production.
- **VOODOO**:
- Output: 15,625 units/year
- Selling price: $400/unit
- Total revenue: $6,250,000
- Total cost: $5,250,000
- Net income: Revenue - Cost = $1,000,000
- **MAGICIAN**:
- Output: 17,625 units/year
- Selling price: $400/unit
- Total revenue: $7,050,000
- Total cost: $6,000,000
- Net income: $1,050,000
---
### **Step 1: Calculate Total Profit for Each Machine**
#### **VOODOO**
- **Total Revenue** = Units × Price
= 15,625 × $400
= $6,250,000
- **Net Profit** = Total Revenue - Total Cost
= $6,250,000 - $5,250,000
= $1,000,000
#### **MAGICIAN**
- **Total Revenue** = Units × Price
= 17,625 × $400
= $7,050,000
- **Net Profit** = Total Revenue - Total Cost
= $7,050,000 - $6,000,000
= $1,050,000
---
### **Step 2: Fill in the Table**
| Alternative | Output (units) | Selling Price ($) | Total Revenue ($) | Total Cost ($) | Net Profit ($) |
|-----------------------|----------------|-------------------|-------------------|----------------|----------------|
| Voodoo | 15,625 | 400 | 6,250,000 | 5,250,000 | 1,000,000 |
| Magician | 17,625 | 400 | 7,050,000 | 6,000,000 | 1,050,000 |
---
### **Step 3: Which Machine Should Be Purchased?**
Since the **MAGICIAN** machine provides a higher net profit ($1,050,000 vs. $1,000,000), the **MAGICIAN** should be selected.
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## **Final Answers**
1. **Voodoo**: Net Profit = **$1,000,000**
2. **Magician**: Net Profit = **$1,050,000**
3. **Recommendation**: **Purchase the Magician machine** (higher profit).
---
If you need help with the table or any calculations, let me know!
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