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The following materials standards have been established for a particular product

ID: 2359659 • Letter: T

Question

The following materials standards have been established for a particular product: Standard quantity per unit of output.......3.8 lbs/Standard price.......$13.00 per lb.

The following data pertain to operations concerning the product for the last month: Actual materials purchased......2,700 lbs./ Actual cost of materials purchased......$34,155/ Actual materials used in production 2000 lbs./ Actual output.......500 units.

a.What is the materials price variance for the month?

b.What is the materials quantity variance for the month?

include equations......

Explanation / Answer

a)

Standard cost is $13.40 per meter
Actual cost was ($60,500 / 4,400 ) = $ 13.75 per meter, so the variance is favorable.
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Materials price variance
= AQ * (AP - SP)

= 4,400 * ($13.75 - $14.40)

= 4,400 * ( - $ 0.65 )

= - $2,860

[ The material price variance was $2,860 F ]
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AQ = Actual quantity purchased
AP = Actual price
SP = Standard price

b)

SQ = STANDARD QUANTITY PER UNIT X ACTUAL OUTPUT

= 3.8 * 500

= 1900


materials quantity variance =

= SP(AQ - SQ)

= 13 * (2000 - 1900)

= 1300