Final answer:
The Rate Variance for Eyeglass Products, Inc. for the month of September is a favorable $3,005, while the Efficiency/Time Variance is an unfavorable $1,760.
Step-by-step explanation:
To determine the Rate Variance and the Efficiency/Time Variance for Eyeglass Products, Inc., we need to calculate the difference between the standard labor cost and the actual labor cost for the actual production output.
Rate Variance Calculation
The standard rate is $32.00 per hour, but workers were paid $31.00 per hour. To find the Rate Variance, you multiply the actual hours worked by the difference between the standard rate and the actual rate:
Rate Variance = Actual Hours Worked x (Standard Rate - Actual Rate)
Rate Variance = 3,005.10 hours x ($32.00/hr - $31.00/hr)
Rate Variance = 3,005.10 hours x $1.00/hr
Rate Variance = $3,005 (Favorable)
Efficiency/Time Variance Calculation
The standard time to produce one unit is 2.70 hours, and EPI produced 1,093 units. The standard hours for actual production are:
Standard Hours for Actual Production = Standard Hours per Unit x Actual Units Produced
Standard Hours for Actual Production = 2.70 hours/unit x 1,093 units
Standard Hours for Actual Production = 2,950.10 hours
Now, subtract the standard hours for actual production from the actual hours worked to find the Efficiency Variance:
Efficiency/Time Variance = Actual Hours Worked - Standard Hours for Actual Production
Efficiency/Time Variance = 3,005.10 hours - 2,950.10 hours
Efficiency/Time Variance = 55 hours
To calculate the cost associated with this variance, multiply the difference by the standard rate:
Efficiency/Time Variance Cost = 55 hours x $32.00/hr
Efficiency/Time Variance Cost = $1,760 (Unfavorable)