What is Material Quantity Variance?
Material quantity variance measures whether a factory used more or less raw material than the standard allows for the units actually produced. It isolates usage efficiency from any price effect, helping managers spot waste, spoilage, or superior yield.
Material quantity variance equals (Actual Quantity Used − Standard Quantity Allowed) × Standard Price. A positive result is unfavorable (more material used than standard); a negative result is favorable.
- •More material used than the standard allows
- •Raises total production cost
- •May signal waste, spoilage, or low-grade material
- •Triggers investigation of process or input quality
- •Less material used than the standard allows
- •Lowers total production cost
- •May signal skilled handling or a process improvement
- •Check that product quality was not sacrificed
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Step-by-step worked examples
A bakery's standard allows 1,000 kg of flour for a batch at $5/kg. Actual usage was 1,050 kg. Find the material quantity variance.
AQ − SQ = 1,050 − 1,000 = 50 kg MQV = 50 × $5 = $250 Since AQ > SQ, the variance is $250 Unfavorable
Standard quantity allowed is 500 kg at $10/kg. Actual usage was only 480 kg.
AQ − SQ = 480 − 500 = −20 kg MQV = −20 × $10 = −$200 Since AQ < SQ, the variance is $200 Favorable
A furniture maker used 2,200 board-feet of lumber at a standard price of $3/board-foot; standard usage was 2,000 board-feet.
AQ − SQ = 2,200 − 2,000 = 200 board-feet MQV = 200 × $3 = $600 Since AQ > SQ, the variance is $600 Unfavorable
Flashcards
Quick quiz
Q1.Standard quantity allowed is 750 kg, actual usage is 800 kg, standard price is $4/kg. What is the material quantity variance?
Q2.Which price is always used to compute material quantity variance?
Q3.A company uses less material than standard allows. This is a…
Q4.Material quantity variance isolates which factor?
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Common mistakes
Using the actual price instead of the standard price in the formula. — Correct: Always use the standard price — that is what isolates the quantity effect.
Treating a positive number as automatically good. — Correct: A positive MQV is unfavorable (excess usage); negative is favorable.
Confusing material quantity variance with material price variance. — Correct: Quantity variance is about usage (AQ vs SQ); price variance is about cost per unit (AP vs SP).
Comparing actual quantity to actual output without adjusting to standard. — Correct: Standard quantity must be the quantity allowed for the actual units produced, not a fixed budget number.
FAQ
What is the formula for material quantity variance?
MQV = (Actual Quantity Used − Standard Quantity Allowed) × Standard Price.
How do you calculate material quantity variance?
Subtract the standard quantity allowed for actual output from the actual quantity used, then multiply by the standard price per unit.
What are examples of material quantity variance?
A bakery using 50 kg more flour than standard for a batch, or a factory using less steel than standard due to a leaner cutting process.
What does an unfavorable material quantity variance mean?
It means more raw material was consumed than the standard allowed for the output achieved, raising cost.