Math Problem Statement
solve for me and fill in the entire chart please
Solution
I have opened the image you uploaded. Now, let's proceed to solve the problem based on the data and questions presented.
Steps:
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Standard Direct-Labor Cost Calculation:
- The standard direct-labor rate is given as $15.08.
- The standard ratio of direct-labor hours to machine hours is 4:1.
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Formula to Use:
- For each month, we calculate the Standard Direct-Labor Cost by multiplying the standard labor hours (based on machine hours) by the direct-labor rate.
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Calculate 20% of Standard Direct-Labor Cost:
- After calculating the standard cost, 20% of that cost is calculated to identify which months have a variance that exceeds this threshold.
Breakdown:
Let's calculate each month's values to fill in the chart based on this procedure. I'll start by calculating the standard direct-labor cost for each month using the data from the image.It appears there was a mismatch in unpacking the data. I'll fix that and proceed with the correct calculations for the standard labor costs and the 20% threshold for each month.Here are the calculated values for the standard direct-labor costs, 20% thresholds, and whether or not the variance exceeds the threshold for each month:
Month | Standard Direct-Labor Cost | 20% of Standard Cost | Variance Exceeds 20%? |
---|---|---|---|
January | $17,252.12 | $3,450.42 | No |
February | $14,310.32 | $2,862.06 | No |
March | $14,059.39 | $2,811.88 | No |
April | $15,461.83 | $3,092.37 | No |
May | $16,568.70 | $3,313.74 | No |
June | $18,044.73 | $3,608.95 | No |
July | $19,355.48 | $3,871.10 | No |
August | $20,992.57 | $4,198.51 | No |
September | $19,413.39 | $3,882.68 | No |
October | $17,250.92 | $3,450.18 | No |
All the months have variances within the 20% threshold.
Let me know if you'd like further clarifications or more details!
Here are 5 related questions:
- How does a company use variance analysis in budgeting?
- What is the difference between labor efficiency and labor rate variance?
- Why is it important to investigate variances exceeding thresholds like 20%?
- Can actual labor hours being lower than standard hours indicate inefficiency?
- How would increased machine hours impact labor cost variance?
Tip: Regularly reviewing labor variance can help identify operational inefficiencies before they escalate into bigger issues.
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Math Problem Analysis
Mathematical Concepts
Variance Analysis
Cost Accounting
Labor Efficiency Variance
Formulas
Standard Direct-Labor Cost = Standard Labor Hours × Direct-Labor Rate
20% of Standard Direct-Labor Cost = 0.20 × Standard Direct-Labor Cost
Theorems
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Suitable Grade Level
Undergraduate Accounting or Finance
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