Math Problem Statement

solve for me and fill in the entire chart please

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:

  1. 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.
  2. 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.
  3. 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:

MonthStandard Direct-Labor Cost20% of Standard CostVariance Exceeds 20%?
January$17,252.12$3,450.42No
February$14,310.32$2,862.06No
March$14,059.39$2,811.88No
April$15,461.83$3,092.37No
May$16,568.70$3,313.74No
June$18,044.73$3,608.95No
July$19,355.48$3,871.10No
August$20,992.57$4,198.51No
September$19,413.39$3,882.68No
October$17,250.92$3,450.18No

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:

  1. How does a company use variance analysis in budgeting?
  2. What is the difference between labor efficiency and labor rate variance?
  3. Why is it important to investigate variances exceeding thresholds like 20%?
  4. Can actual labor hours being lower than standard hours indicate inefficiency?
  5. 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