Math Problem Statement
Muriel Ltd has prepared the following standard data for the first quarter of 2024:
£ per unit
£ total @ 4,200 units
Sales
300.00
1,260,000
Less variable costs:
Materials (Note i)
(67.20)
(282,240)
Labour (Note ii)
(18.00)
(75,600)
Other variable overheads
(62.00)
(260,400)
Contribution
152.80
641,760
Less fixed overheads
(175,000)
Profit
466,760
The actual results for the first quarter of 2024, where 4,130 units were produced and sold, were as follows:
Sales
£1,263,780
Less variable costs:
Materials (Note iii)
(£223,020)
Labour (Note ii)
(£75,166)
Other variable overheads
(£226,800)
Contribution
£738,794
Less fixed overheads
(£182,000)
Profit
£556,794
Notes:
(i)Under the standard costing system, each unit produced and sold by the firm in the first quarter of 2024 will use 16kg of material.
(ii)Under the standard costing system, each unit produced and sold by the firm in the first quarter of 2024 will require 2.5 hours of labour. The actual number of labour hours needed per unit was the same for the first quarter of 2024.
(iii) In the first quarter of 2024, each unit produced and sold used 14.4kg of materials.
What is the materials usage variance for the first quarter of 2024? (to two decimal places)
Show answer choices
£27,753.60 Favourable
£26,762.40 Favourable
£59,220 Favourable
£32,457.60 Adverse
Solution
Materials Usage Variance Calculation
Formula:
Step 1: Calculate Standard Quantity Allowed for Actual Production
Step 2: Calculate Actual Quantity Used
Step 3: Standard Price per kg
Step 4: Apply the Formula
Result:
Would you like a detailed explanation of why this variance is favourable?
Related Questions:
- What is the materials price variance for the first quarter of 2024?
- How is the labour efficiency variance calculated in this scenario?
- What impact did the actual fixed overheads have on overall profitability?
- How does the contribution margin per unit differ between standard and actual results?
- What strategies could Muriel Ltd use to further improve material efficiency?
Tip:
A favourable usage variance suggests efficient use of materials, but it's essential to check if this efficiency affected product quality.
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Math Problem Analysis
Mathematical Concepts
Variance Analysis
Standard Costing
Cost Accounting
Formulas
Materials Usage Variance = (Standard Quantity - Actual Quantity) × Standard Price per kg
Theorems
Standard Costing Principles
Suitable Grade Level
Undergraduate (Accounting/Finance) or Professional Certifications (e.g., ACCA, CIMA)
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