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Problem 10-13 Basic Variance Analysis; the Impact of Variances on Unit Costs [LO10-1, LO10-2, LO10-3] Koontz...

Problem 10-13 Basic Variance Analysis; the Impact of Variances on Unit Costs [LO10-1, LO10-2, LO10-3]

Koontz Company manufactures a number of products. The standards relating to one of these products are shown below, along with actual cost data for May.

Standard Cost per Unit Actual Cost per Unit
Direct materials:
Standard: 1.90 feet at $3.00 per foot $

5.70

Actual: 1.85 feet at $3.40 per foot $ 6.29
Direct labor:
Standard: 1.00 hours at $18.00 per hour

18.00

Actual: 1.05 hours at $17.40 per hour 18.27
Variable overhead:
Standard: 1.00 hours at $8.00 per hour 8.00
Actual: 1.05 hours at $7.60 per hour 7.98
Total cost per unit $

31.70

$ 32.54
Excess of actual cost over standard cost per unit $ 0.84

The production superintendent was pleased when he saw this report and commented: “This $0.84 excess cost is well within the 4 percent limit management has set for acceptable variances. It's obvious that there's not much to worry about with this product."

Actual production for the month was 15,000 units. Variable overhead cost is assigned to products on the basis of direct labor-hours. There were no beginning or ending inventories of materials.

Required:

1. Compute the following variances for May:

a. Materials price and quantity variances.

b. Labor rate and efficiency variances.

c. Variable overhead rate and efficiency variances.

2. How much of the $0.84 excess unit cost is traceable to each of the variances computed in (1) above.

3. How much of the $0.84 excess unit cost is traceable to apparent inefficient use of labor time?

Solutions

Expert Solution

Solution 1a:
Material price variance= (SP - AP) * AQ = ($3 - $3.40) * (15000*1.85) = $11,100 U

Materail quantity variance = (SQ - AQ) * SP = (15000*1.90 - 15000*1.85) * $3 = $2,250 F

Solution 1b:

Labor rate variance = (SR - AR) * AH = (18 - 17.40) * (15000 * 1.05) = $9,450 F

Labor efficiency variance = (SH - AH) * SR = (15000*1 - 15000*1.05) * $18 = $13,500 U

Solution 1c:

Variable overhead rate variance =  (SR - AR) * AH = (8 - 7.60) * (15000 * 1.05) = $6,300 F

Variable overhead efficiency variance = (SH - AH) * SR = (15000*1 - 15000*1.05) * $8 = $6,000 U

Solution 2:

Statement showing Excess unit cost traceable to variance - Koontz Company
Variance
Materials:
Price Variance $11,100.00 U
Quantity Variance $2,250.00 F $0.59 U
Labor:
Rate variance $9,450.00 F
Efficiency variance $13,500.00 U $0.27 U
Variable overhead:
Rate variance $6,300.00 F
Efficiency variance $6,000.00 U $0.02 F
Excess of actual cost over standard cost per unit $0.84 U

Solution 3:

Statement showing Excess unit cost traceable to variance
Variance
Excess of actual over standard cost per unit $0.84 U
Less: Portion attributable to labor efficiency:
Labor Efficiency variance $13,500.00 U
Variable overhead Efficiency variance $6,000.00 U $1.30 U
Portion due to other variances $0.46 F

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