Misterio Company uses a standard costing system. During the past quarter, the following variances were computed: Variable overhead efficiency variance $ 24,000 U
Direct labor efficiency variance 120,000 U
Direct labor rate variance 10,400 U
Misterio applies variable overhead using a standard rate of $2 per direct labor hour allowed. Two direct labor hours are allowed per unit produced. (Only one type of product is manufactured.) During the quarter, Misterio used 30 percent more direct labor hours than should have been used.
Required:
1. What were the actual direct labor hours worked? The total hours allowed?
2. What is the standard hourly rate for direct labor? The actual hourly rate?
3. How many actual units were produced?

1. Total hours allowed = 40,000

  Actual direct labour hours worked = 52,000.

2. Standard hourly rate = $10

   Actual rate = $10.2

3. Actual output= 20,000 units

Explanation:

The variable overhead efficiency variance in hours= variable overhead efficiency variance in Dollar/Variable overhead standard rate

= $24,000/$2= 12,000 hours unfavorable

Let the actual hours be V

Let the standard hours for the actual output achieved be = V

The actual hours worked = 130% of the standard hours allowed

Actual hours =130% × V = 1.3V

1.3V - V= 12,000

V=12000/0.3=40,000

Total hours allowed = 40,000

Actual labour hours= 130%× 40,000=52,000

Total hours allowed = 40,000

Actual direct labour hours worked = 52,000.

Standard labour rate =

Labour effciency variance in Dollar /Labour efficiency variance in hours

= 120,000/12,000=$10

Standard hourly rate = $10

Rate variance = (Actual rate - standard rate)× Actual hours

Let the actual rate be = Y

      10,400   = ( Y - 10) × 52,000

10,400= 52000Y- 520,000

Y= (520,000 + 10,400)/52,000=10.2

Actual rate = $10.2

Standard labour hours for actual output = Actual output × standard hours

Let the actual output be = m

40,000 = m × 2

m= 40,000/2= 20,000 units

Actual output= 20,000 units

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