Answer :
Let's break down the calculations step by step for each requirement:
Contribution Margin Ratio:
Contribution Margin (CM) is calculated as Sales Revenue minus Total Cost.
For Year I:
- Sales Revenue = Rs. 200,000
- Total Cost = Rs. 180,000
Contribution Margin for Year I = Sales Revenue - Total Cost = Rs. 200,000 - Rs. 180,000 = Rs. 20,000
Contribution Margin Ratio for Year I = (Contribution Margin / Sales Revenue) × 100 = (Rs. 20,000 / Rs. 200,000) × 100 = 10%
For Year II:
- Sales Revenue = Rs. 250,000
- Total Cost = Rs. 210,000
Contribution Margin for Year II = Sales Revenue - Total Cost = Rs. 250,000 - Rs. 210,000 = Rs. 40,000
Contribution Margin Ratio for Year II = (Contribution Margin / Sales Revenue) × 100 = (Rs. 40,000 / Rs. 250,000) × 100 = 16%
Material Price Variance:
Material Price Variance (MPV) = (Actual Price - Standard Price) × Actual Quantity Used
MPV = (Rs. 3 - Rs. 2) × 12,000 kg = Rs. 1 × 12,000 kg = Rs. 12,000 adverse
Total Cost for 18,000 Units:
Total cost consists of fixed and variable components. Variable cost is 45% of the total production cost for 12,000 units.
Total cost for 12,000 units = Rs. 20,000
Variable Cost (VC) = 45% of Rs. 20,000 = Rs. 9,000
To find the variable cost per unit: VC per unit = Rs. 9,000 / 12,000 units = Rs. 0.75 per unit
For 18,000 units, the variable cost will be: 18,000 units × Rs. 0.75 per unit = Rs. 13,500
Fixed cost does not change with the level of production.
Fixed Cost (FC) = Total Cost - Variable Cost = Rs. 20,000 - Rs. 9,000 = Rs. 11,000
Therefore, Total Cost for 18,000 units = FC + Variable Cost for 18,000 units = Rs. 11,000 + Rs. 13,500 = Rs. 24,500
Over/Under Absorption of Fixed Manufacturing Cost:
Fixed costs are spread over the normal capacity. If actual production exceeds normal capacity, it can lead to over-absorption.
Normal capacity = 5,000 units
Fixed factory overhead = Rs. 40,000
Fixed cost allocation per unit at normal capacity = Rs. 40,000 / 5,000 units = Rs. 8 per unit
With actual production of 7,000 units, total absorbed overhead would be: 7,000 units × Rs. 8 per unit = Rs. 56,000
Actual fixed factory overhead = Rs. 40,000
Over absorption of fixed manufacturing costs = Rs. 56,000 - Rs. 40,000 = Rs. 16,000
In summary, we have calculated the relevant financial variances and costs based on the given data.