✅ Correct Answer: A-IV, B-II, C-I, D-III
✅ Explanation:
To match the types of variances in Material Cost Variance with their respective formulas, we need to understand each variance type and the related formula:
1. Material Cost Variance (A)
Formula: IV (Standard Price × Standard Quantity) – (Actual Price × Actual Quantity)
Explanation: The Material Cost Variance represents the difference between the expected (standard) cost of materials and the actual cost of materials used in production. This is calculated as:
Material Cost Variance = (Standard Price × Standard Quantity) − (Actual Price × Actual Quantity)
This formula compares the total expected cost of materials versus the actual cost incurred.
2. Material Price Variance (B)
Formula: II (Standard Price – Actual Price) × Actual Quantity
Explanation: The Material Price Variance measures the difference between the expected price of material and the actual price paid for the material, based on the quantity actually purchased. It is calculated as:
Material Price Variance = (Standard Price − Actual Price) × Actual Quantity
This variance shows if the company paid more or less than expected for the materials.
3. Material Usage Variance (C)
Formula: I (Standard Quantity – Actual Quantity) × Standard Price
Explanation: The Material Usage Variance represents the difference between the actual quantity of material used in production and the standard quantity expected to be used, valued at the standard price. It is calculated as:
Material Usage Variance = (Standard Quantity − Actual Quantity) × Standard Price
This variance shows whether materials were used more efficiently or inefficiently.
4. Material Mix Variance (D)
Formula: III Standard cost of actual quantity of actual mixture – Standard cost of actual quantity of standard mixture
Explanation: The Material Mix Variance calculates the effect of using a different mix of materials than the standard mix, while keeping the total quantity constant. It is calculated as:
Material Mix Variance = Standard Cost of Actual Quantity of Actual Mixture − Standard Cost of Actual Quantity of Standard Mixture
This variance helps understand the impact of using a different combination of materials.
✅Final Answer: A-IV, B-II, C-I, D-III