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Which of the following is the correct formula for the materials price variance?

A) Actual price of input - Budgeted price of input) x Budgeted quantity of input
B) Actual quantity of input used - Budgeted quantity of input allowed for actual output) x Budgeted price of input
C) Actual price of input - Budgeted price of input) x Actual quantity of input
D) Actual quantity of input used - Budgeted quantity of input allowed for actual output) x Actual price of input

1 Answer

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Final answer:

The materials price variance is calculated as (Actual price of input - Budgeted price of input) x Actual quantity of input, which helps businesses assess how purchasing costs affect their budget.

Step-by-step explanation:

The materials price variance is a critical measure in cost accounting, providing insights into the cost-effectiveness of a company's procurement process. The accurate formula for calculating the materials price variance is:

\[ \text{Materials Price Variance} = (\text{Actual Price of Input} - \text{Budgeted Price of Input}) \times \text{Actual Quantity of Input} \]

This formula allows for a precise evaluation of the difference between the actual cost incurred for materials and the expected or budgeted cost. The significance of this variance lies in its ability to isolate the impact of price fluctuations in the cost of materials, separate from changes in the quantity purchased.

Breaking down the components of the formula:

1. **Actual Price of Input:** This represents the per-unit cost of materials based on the actual purchase price.

2. **Budgeted Price of Input:** Refers to the expected or standard cost per unit of materials, as determined in the budgeting process.

3. **Actual Quantity of Input:** The actual amount of materials purchased or consumed.

By calculating the materials price variance, businesses can discern whether the variation in costs is due to changes in the price of materials or differences in the quantity purchased. This insight is valuable for cost control, decision-making, and identifying areas for improvement in the procurement process. A favorable variance indicates cost savings, while an unfavorable variance suggests increased costs associated with material prices.

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