Answer:
1. Material Variances
Material Price Variance = $3,000 F
Material Quantity Variance = $4,000 U
2. Labor Variances
Labor Rate Variance = $1,425 U
Labor Efficiency Variance = $900 F
Explanation:
Provided information we have,
Direct Materials
Standard Quantity = 4.6 pounds
Standard Rate = $2.50 per pound
Direct Labor
Standard Hours = 0.2 hour per unit
Standard Rate = $18 per hour
Actual Materials
Actual Quantity = 20,000 pounds
Actual Rate = $2.35 per pound
Actual Labor
Labor Hours = 750 hours
Labor Cost = $14,925
Labor rate = ![\frac{14,925}{750} = $19.9 per hour](https://tex.z-dn.net/?f=%5Cfrac%7B14%2C925%7D%7B750%7D%20%3D%20%2419.9%20per%20hour)
Actual Units produced = 4,000
1. Material Variances
![Material\ Price\ Variance = (Standard\ Price - Actual\ Price) \times Actual\ Units](https://tex.z-dn.net/?f=Material%5C%20Price%5C%20Variance%20%3D%20%28Standard%5C%20Price%20-%20Actual%5C%20Price%29%20%5Ctimes%20Actual%5C%20Units)
= ($2.50 - $2.35)
20,000 pounds
= $3,000
As the actual rate is less than standard rate the variance is favorable.
![Material\:Quantity\ Variance = (Standard\ Quantity - Actual\ Quantity) \times Standard\ Rate](https://tex.z-dn.net/?f=Material%5C%3AQuantity%5C%20Variance%20%3D%20%28Standard%5C%20Quantity%20-%20Actual%5C%20Quantity%29%20%5Ctimes%20Standard%5C%20Rate)
Standard Quantity = 4,000
4.6 = 18,400 pounds
Material Quantity Variance = (18,400 - 20,000)
$2.50
= - $4,000
As the actual raw material quantity used is higher than standard raw material quantity the variance is unfavorable.
2. Labor Variances
![Labor\ Rate\ Variance = (Standard\ Rate - Actual\ Rate) \times Actual\ Hours](https://tex.z-dn.net/?f=Labor%5C%20Rate%5C%20Variance%20%3D%20%28Standard%5C%20Rate%20-%20Actual%5C%20Rate%29%20%5Ctimes%20Actual%5C%20Hours)
= ($18 - $19.9)
750 = - $1,425
As actual rate is higher than standard rate thus the variance is unfavorable.
![Labor\ Efficiency\ Variance = (Standard\ Hours - Actual\ Hours) \times Standard\ Rate](https://tex.z-dn.net/?f=Labor%5C%20Efficiency%5C%20Variance%20%3D%20%28Standard%5C%20Hours%20-%20Actual%5C%20Hours%29%20%5Ctimes%20Standard%5C%20Rate)
Standard Hours = 4,000
0.2 = 800
Labor Efficiency Variance = (800 - 750)
$18
= $900
As the Standard Hours is more than Actual Hours the variance is favorable.
1. Material Variances
Material Price Variance = $3,000 F
Material Quantity Variance = $4,000 U
2. Labor Variances
Labor Rate Variance = $1,425 U
Labor Efficiency Variance = $900 F