Hard2 marksShort Answer
Budgeting and controlSyllabus DVariance AnalysisMaterial Mix Variance

ACCA · Question 21 · Budgeting and control

Section B - Case 2: AeroLogix

AeroLogix provides drone-based medical delivery. They manufacture their own drone batteries using a mix of Lithium (L) and Cobalt (C).
The standard mix for one batch of batteries is:

  • Lithium: 6 kg at $40 per kg
  • Cobalt: 4 kg at $90 per kg

In June, AeroLogix produced 100 batches. The actual materials used were:

  • Lithium: 650 kg
  • Cobalt: 350 kg

Calculate the total material mix variance for June. (Enter your answer as a positive number for adverse, or negative for favorable. e.g., if it is $100 Adverse, enter 100. If it is $100 Favorable, enter -100).

How to approach this question

1. Calculate total actual input quantity (650 + 350 = 1000 kg). 2. Calculate the standard mix of this actual total input (60% L, 40% C). 3. Compare Actual Quantity in Standard Mix (AQSM) to Actual Quantity in Actual Mix (AQAM). 4. Multiply the difference by the standard price per kg.

Full Answer

Total actual input = 650 kg (L) + 350 kg (C) = 1,000 kg. Standard mix ratio = 6:4 (or 60% L, 40% C). Standard mix of actual total input (AQSM): - Lithium: 60% of 1,000 = 600 kg - Cobalt: 40% of 1,000 = 400 kg Mix Variance calculation (AQSM - AQAM) * SP: Lithium: (600 - 650) * $40 = -$2,000 (Adverse, as they used more) Cobalt: (400 - 350) * $90 = +$4,500 (Favorable, as they used less) Total Mix Variance = -$2,000 + $4,500 = $2,500 Favorable. Since the prompt asks for negative for favorable, the answer is -2500.

Common mistakes

Calculating the yield variance instead of the mix variance, or getting the favorable/adverse sign wrong.

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