Respuesta :
Answer and Explanation:
According to the scenario, computation of the given data are as follows:-
1. Standard Quantity for Actual Output is
= $574600 ÷ $16.90
= 34000 Pounds
Actual Output = $34000 ÷ 2 = $17000
Unit Produced = 17,000 Units
2.Material Efficiency Variance is
= (Actual Quantity - Standard Quantity) × Standard Price
33,800 = (Actual Quantity - 34,000) ×$16.90
33800 ÷ $16.90 = Actual Quantity - $34,000
2000 = Actual Quantity - 34,000
Actual Quantity = 34,000 + 2000
= 36,000 Pounds
3.Material Rate Variance is
= (Actual Price - Standard Price) × Actual Quantity
$10,440 = (Actual Price - $16.90) × 36,000
$10440 ÷ 36000 = Actual Price - $16.90
-0.29+$16.90 = Actual Price
Actual Price = $16.61
4. Labor Efficiency Variance is
= (Actual Hour - Standard Hours) × Standard Rate
15500 = (Actual Hour - 263500 ÷ $15.50) × 15.50
15500 ÷ $15.50 = (Actual Hour - 17,000)
1000 + 17000 = Actual Hour
Actual Hour = 18,000
5. Labor Rate Variance is
= (Actual Rate - Standard Rate) × Actual Hours
$3600 = ( Actual Rate - $15.50) × 18000
$3600 ÷ 18000 = Actual Rate - $15.50
$0.2 + $15.50 = Actual Rate
Actual Rate = $15.70
We simply applied the above formulas
1. The number of units produced last period is 17,000 units.
2. The number of pounds of direct material is 36,000 pounds.
3. The actual cost per pound of material is $16.61.
4. The actual direct labor hours is 18,000.
5. The actual rate paid per direct labor hour is $15.70.
- The calculation is as follows:
1. Standard Quantity for Actual Output is
= $574600 ÷ $16.90
= 34000 Pounds
Now
Actual Output = $34000 ÷ 2 = $17000
i.e. Unit Produced = 17,000 Units
2. Material Efficiency Variance is
= (Actual Quantity - Standard Quantity) × Standard Price
33,800 = (Actual Quantity - 34,000) ×$16.90
33800 ÷ $16.90 = Actual Quantity - $34,000
2000 = Actual Quantity - 34,000
Actual Quantity = 34,000 + 2000
= 36,000 Pounds
3. Material Rate Variance is
= (Actual Price - Standard Price) × Actual Quantity
$10,440 = (Actual Price - $16.90) × 36,000
$10440 ÷ 36000 = Actual Price - $16.90
-0.29+$16.90 = Actual Price
Actual Price = $16.61
4. Labor Efficiency Variance is
= (Actual Hour - Standard Hours) × Standard Rate
15500 = (Actual Hour - 263500 ÷ $15.50) × 15.50
15500 ÷ $15.50 = (Actual Hour - 17,000)
1000 + 17000 = Actual Hour
Actual Hour = 18,000
5. Labor Rate Variance is
= (Actual Rate - Standard Rate) × Actual Hours
$3600 = ( Actual Rate - $15.50) × 18000
$3600 ÷ 18000 = Actual Rate - $15.50
$0.2 + $15.50 = Actual Rate
Actual Rate = $15.70
Therefore we can conclude that
1. The number of units produced last period is 17,000 units.
2. The number of pounds of direct material is 36,000 pounds.
3. The actual cost per pound of material is $16.61.
4. The actual direct labor hours is 18,000.
5. The actual rate paid per direct labor hour is $15.70.
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