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Asked by: Test User 100266
Created at: 2025-05-15 00:17:56
Final Answer:
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Let's break down each part step by step as requested, based on the information provided.
---
### **Given Data Recap**
#### **Finished Goods Inventory**
| Date | Cases | Cost ($) |
|-------------|-------|----------|
| Aug 1 (Est) | 300 | 12,000 |
| Aug 31 (Des)| 175 | 7,000 |
#### **Materials Inventory**
| Material | Aug 1 (Est) | Aug 31 (Des) |
|-------------|-------------|--------------|
| Cream Base | 250 oz. | 1,000 oz. |
| Oils | 290 oz. | 360 oz. |
| Bottles | 600 | 240 |
#### **Demand:**
- 1,500 cases at $100 per case for August.
#### **Assumptions:**
- Negligible work in process inventory.
- No change in cost per unit or units per case.
---
## **Required Parts**
### **1. August Production Budget**
**Formula:**
\[ \text{Required Production} = \text{Expected Sales} + \text{Desired Ending FG Inventory} - \text{Beginning FG Inventory} \]
- Expected Sales = 1,500 cases
- Desired Ending FG Inventory (Aug 31) = 175 cases
- Beginning FG Inventory (Aug 1) = 300 cases
\[ \text{Required Production} = 1,500 + 175 - 300 = 1,375 \text{ cases} \]
---
### **2. Direct Materials Purchases Budget**
**Formula for each material:**
\[ \text{Materials to Purchase} = (\text{Required Production} \times \text{Material per Case}) + \text{Desired Ending Inventory} - \text{Beginning Inventory} \]
But the amount of each material per case is not specified. Let's assume you need to calculate in terms of the units given:
#### **For Cream Base:**
- Required for production: \( X \) oz/case × 1,375 cases
- Add: Desired ending inventory = 1,000 oz
- Less: Beginning inventory = 250 oz
**So you need the per-case usage to continue—if not specified, you can only set up the formula:**
\[
\text{Cream Base to Purchase} = (1,375 \times X) + 1,000 - 250
\]
#### **For Oils:**
\[
\text{Oils to Purchase} = (1,375 \times Y) + 360 - 290
\]
#### **For Bottles:**
\[
\text{Bottles to Purchase} = (1,375 \times Z) + 240 - 600
\]
Where \( X, Y, Z \) = units of each material per case.
---
### **3. Direct Labor Budget**
- You need direct labor hours and rate per case, but not specified. The formula is:
\[
\text{Direct Labor Budget} = \text{Required Production} \times \text{Direct Labor Hours per Case} \times \text{Wage Rate}
\]
---
### **4. Factory Overhead Budget**
- Typically includes variable and fixed overheads per unit. If not given, you can't calculate the total, but the setup is:
\[
\text{Factory Overhead Budget} = (\text{Variable Overhead Rate} \times \text{Units Produced}) + \text{Fixed Overhead}
\]
---
### **5. Budgeted Income Statement (for August)**
**Sales:**
\[
\text{Sales} = 1,500 \text{ cases} \times \$100 = \$150,000
\]
**COGS:**
\[
\text{COGS} = \text{Beginning FG Inv} + \text{Cost of Goods Manufactured} - \text{Ending FG Inv}
\]
- Beginning FG Inv = $12,000
- Ending FG Inv = $7,000
- Cost of Goods Manufactured = (will need cost per case × production)
If cost per case can be derived from inventory values:
- Beginning Inventory: $12,000/300 = **$40 per case**
- Ending Inventory: $7,000/175 = **$40 per case**
So, Cost per case = $40
\[
\text{Cost of Goods Manufactured} = 1,375 \text{ cases} \times \$40 = \$55,000
\]
\[
\text{COGS} = \$12,000 + \$55,000 - \$7,000 = \$60,000
\]
**Gross Profit:**
\[
\text{Gross Profit} = \$150,000 - \$60,000 = \$90,000
\]
**Selling and Admin Expenses:** Not specified, so cannot be calculated.
---
## **Summary Table**
| Budget | Calculation | Amount |
|-----------------------|------------------------------------|---------------|
| **Production** | 1,500 + 175 - 300 | 1,375 cases |
| **Material Purchases**| Formula above, need usage/case | See formulas |
| **Direct Labor** | Formula above, need details | See formulas |
| **Overhead** | Formula above, need details | See formulas |
| **Sales** | 1,500 × $100 | $150,000 |
| **COGS** | $12,000 + $55,000 - $7,000 | $60,000 |
| **Gross Profit** | $150,000 - $60,000 | $90,000 |
---
### **Final Answers (where calculable):**
- **August Production Budget:** **1,375 cases**
- **Budgeted Income Statement:**
- **Sales:** $150,000
- **COGS:** $60,000
- **Gross Profit:** $90,000
For complete answers to materials, labor, and overhead, you need additional information (usage per case, rates, etc.). If you can provide the per-case requirements, I can finish those calculations for you!
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