(b) Icecold, an FMCG company, manufactures and sells three flavors of ice cream: Dark Chocolate, Chocolate, and Butterscotch. The batch size for the ice cream is limited to 1,000 units based on the size of the fridge and ice cream molds owned by the company. Based on budgetary projections, the information listed below is available:

\begin{tabular}{|c|c|c|c|}
\hline & Dark Chocolate & Chocolate & Butterscotch \\
\hline Projected sales in units & 500,000 & 800,000 & 600,000 \\
\hline \multicolumn{4}{|l|}{ PER UNIT data: } \\
\hline Selling price & ₹ 80 & ₹ 75 & ₹ 60 \\
\hline Direct materials & ₹ 20 & ₹ 15 & ₹ 14 \\
\hline Direct labor & ₹ 4 & ₹ 2 & ₹ 2 \\
\hline \multicolumn{4}{|c|}{ Hours per 1000-unit batch: } \\
\hline Direct labor hours & 20 & 10 & 10 \\
\hline Fridge hours & 1 & 1 & 1 \\
\hline Packaging hours & 0.5 & 0.5 & 0.5 \\
\hline
\end{tabular}

Total overhead costs and activity levels for the year are estimated as follows:

\begin{tabular}{|c|c|c|}
\hline Activity & Overhead costs & Activity levels \\
\hline Direct labor & & 2,400 hours \\
\hline Fridge & ₹ 2,10,00,000 & 1,900 fridge hours \\
\hline Packaging & ₹ 1,50,00,000 & 950 packaging hours \\
\hline Total & ₹ 3,60,00,000 & \\
\hline
\end{tabular}

Required:

a. With the help of ABC system, for the Chocolate ice cream:
1. Compute the activity-cost-driver rate.
2. Compute the estimated overhead costs per thousand ice cream.
3. Compute the estimated operating profit per thousand ice cream.

b. With the help of traditional system (with direct labor hours as the overhead allocation base), for the Chocolate ice cream, compute the estimated operating profit per thousand ice cream. (7 Marks)



Answer :

Sure, let's walk through the computing of the required values for the Chocolate ice cream step by step for both the Activity-Based Costing (ABC) system and the traditional costing system.

### a. Using ABC (Activity-Based Costing) System

#### 1. Compute the Activity-Cost-Driver Rate

- Fridge Overhead Rate: The overhead costs for the fridge are divided by the total fridge hours.
[tex]\[ \text{Fridge Overhead Rate} = \frac{\text{Total Fridge Overhead Costs}}{\text{Total Fridge Hours}} = \frac{₹ 21,000,000}{1,900 \text{ hours}} = ₹ 11,052.63 \text{ per hour} \][/tex]

- Packaging Overhead Rate: The overhead costs for packaging are divided by the total packaging hours.
[tex]\[ \text{Packaging Overhead Rate} = \frac{\text{Total Packaging Overhead Costs}}{\text{Total Packaging Hours}} = \frac{₹ 15,000,000}{950 \text{ hours}} = ₹ 15,789.47 \text{ per hour} \][/tex]

#### 2. Compute the Estimated Overhead Costs per Thousand Ice Cream

- Fridge Overhead Cost per Batch: Multiply the fridge hours required per batch by the fridge overhead rate.
[tex]\[ \text{Fridge Overhead Cost per Batch} = 1 \text{ hour} \times ₹ 11,052.63 \text{ per hour} = ₹ 11,052.63 \][/tex]

- Packaging Overhead Cost per Batch: Multiply the packaging hours required per batch by the packaging overhead rate.
[tex]\[ \text{Packaging Overhead Cost per Batch} = 0.5 \text{ hours} \times ₹ 15,789.47 \text{ per hour} = ₹ 7,894.74 \][/tex]

- Total Overhead Costs per Batch (ABC): Sum the fridge and packaging overhead costs.
[tex]\[ \text{Total Overhead Costs per Batch} = ₹ 11,052.63 + ₹ 7,894.74 = ₹ 18,947.37 \][/tex]

#### 3. Compute the Estimated Operating Profit per Thousand Ice Cream

- Revenue per Batch: Multiply the selling price per unit by the number of units per batch.
[tex]\[ \text{Revenue per Batch} = ₹ 75 \text{ per unit} \times 1,000 \text{ units} = ₹ 75,000 \][/tex]

- Variable Costs per Batch: Sum the direct materials and direct labor costs per unit, and then multiply by the number of units per batch.
[tex]\[ \text{Variable Costs per Batch} = (₹ 15 + ₹ 2) \times 1,000 \text{ units} = ₹ 17,000 \][/tex]

- Operating Profit per Batch (ABC): Subtract the variable costs and overhead costs from the revenue.
[tex]\[ \text{Operating Profit (ABC)} = ₹ 75,000 - ₹ 17,000 - ₹ 18,947.37 = ₹ 39,052.63 \][/tex]

### b. Using Traditional Costing System

#### 1. Compute Total Overhead Costs

- Total Overhead Costs: Sum the overhead costs for fridge and packaging.
[tex]\[ \text{Total Overhead Costs} = ₹ 21,000,000 + ₹ 15,000,000 = ₹ 36,000,000 \][/tex]

#### 2. Compute Overhead Cost Rate per Direct Labor Hour

- Overhead Rate per Direct Labor Hour: Divide the total overhead costs by the total direct labor hours.
[tex]\[ \text{Overhead Rate} = \frac{₹ 36,000,000}{2,400 \text{ hours}} = ₹ 15,000 \text{ per hour} \][/tex]

#### 3. Compute Overhead Costs per Thousand Ice Cream Using Direct Labor Hours

- Overhead Costs per Batch (Traditional): Multiply the direct labor hours required per batch by the overhead rate.
[tex]\[ \text{Overhead Costs per Batch (Traditional)} = 10 \text{ hours} \times ₹ 15,000 \text{ per hour} = ₹ 150,000 \][/tex]

#### 4. Compute the Estimated Operating Profit per Thousand Ice Cream

- Revenue per Batch: Already calculated above as ₹ 75,000.
- Variable Costs per Batch: Already calculated above as ₹ 17,000.
- Operating Profit per Batch (Traditional): Subtract the variable costs and overhead costs from the revenue.
[tex]\[ \text{Operating Profit (Traditional)} = ₹ 75,000 - ₹ 17,000 - ₹ 150,000 = -₹ 92,000 \][/tex]

### Final Results

Summary of the results:

#### ABC System
- Fridge Rate: ₹ 11,052.63 per hour
- Packaging Rate: ₹ 15,789.47 per hour
- Overhead Costs per Batch: ₹ 18,947.37
- Operating Profit per Batch (ABC): ₹ 39,052.63

#### Traditional System
- Overhead Costs per Batch (Traditional): ₹ 150,000
- Operating Profit per Batch (Traditional): -₹ 92,000