Question

In: Accounting

Stacy, Inc., produces a product using a process that allows for substitution between two materials, Alpha...

Stacy, Inc., produces a product using a process that allows for substitution between two materials, Alpha and Beta. The company has the following direct materials data for its product.

Standard costs for one unit of output
Alpha 38 units of input at $ 8.00
Beta 76 units of input at $ 9.50

The company had the following results in June.

Units of output produced 3,100 units
Materials purchased and used
Alpha 125,800 units at $ 7.20
Beta 227,600 units at $ 10.00

Required:

a. Compute materials price and efficiency variances.

b. Compute materials mix and yield variances.

Solutions

Expert Solution

Material Standard Quantity Standard Price Standard Cost Actual Qty. Actual Price Actual Cost Standard Mix
Alpha 117,800 (3,100*38) $8 $942,400 (117800*$8) 125,800 $7.2 $905,760 (125,800*$7.2) 117,800 [(117,800*353,400)/353,400]
Beta 235,600 (3,100*76) $9.5 $2,238,200 (235,600*$9.5) 227,600 $10 $2,276,000 (227,600*$10) 235,600 [(235,600*353,400)/353,400]
Total 353,400 $3,180,600 353,400 $3,181,760 353,400

Material Price Variance = Actual Quantity(Standard Price - Actual Price)

Alpha = 125,800($8-$7.2)= 125,800 *$0.8= $100,640 Favourable

Beta = 235,600($9.5-$10) = 235,600*$0.5= $117,800 Unfavourable

Total $17,160 Unfavourable ($117,800-$100,640)

Material Efficiency Variance = Standard price (Std. Qty-Actual Qty.)

Alpha = $8(117,800-125,800) = $8(8000)= $64,000 Unfavourable

Beta= $9.5 (235,600 - 227,600) = $9.5*8000= $76,000 Favourable

Total = $12,000 Favourable ($76,000-$64,000)

Material Mix Variance = Standard price (Std. Mix -Actual Qty.)

Alpha = $8(117,800-125,800) = $8*8000= $64,000 Unfavourable

Beta= $9.5 (235,600 - 227,600) = $9.5*8000= $76,000 Favourable

Total = $12,000 Favourable ($76,000-$64,000)

Material Yield  Variance = Standard price (Std. Qty- Std. Mix)

Alpha = $8(117,800-117,800) = $8*0= 0

Beta= $9.5 (235,600 - 235,600) = $9.5*0= 0

Total = Nil


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