Cost Accounting Quiz: Variable Overhead Variances
20 questions · exam conditions
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Variable Overhead VariancesQuestion 1 of 20

A company's total variable overhead variance was $1,500 unfavorable. The variable overhead spending variance was calculated to be $4,200 unfavorable. What was the company's variable overhead efficiency variance?

$5,700 Unfavorable
$2,700 Unfavorable
$2,700 Favorable
$5,700 Favorable
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Cost Accounting Quiz

Cost Accounting Quiz: Variable Overhead Variances

Practice Variable Overhead Variances in Cost Accounting with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Variable Overhead Variances, giving you a quick way to practice the rules, question types, and explanations that matter most for Cost Accounting.

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Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

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Question 1

A company's total variable overhead variance was $1,500 unfavorable. The variable overhead spending variance was calculated to be $4,200 unfavorable. What was the company's variable overhead efficiency variance?

  1. $5,700 Unfavorable
  2. $2,700 Unfavorable
  3. $2,700 Favorable (correct answer)
  4. $5,700 Favorable
Explanation: The total variable overhead variance is the sum of the spending and efficiency variances. Let U be a positive number and F be a negative number. The equation is: Total Variance = Spending Variance + Efficiency Variance. So, +1,500=+1,500 = +4,200 + Efficiency Variance. Solving for the efficiency variance: Efficiency Variance = $1,500 - 4,200=4,200 = -2,700. A negative result indicates a favorable variance.

Question 2

Pacific Industries uses machine hours to allocate variable overhead and has established a standard rate of $25 per machine hour. During September, the variable overhead spending variance was $8,000 unfavorable and the efficiency variance was $5,000 favorable. If 3,200 machine hours were actually used during the month, what was the standard quantity of machine hours allowed for the actual level of production achieved?

  1. 3,000 machine hours
  2. 3,400 machine hours (correct answer)
  3. 2,800 machine hours
  4. 3,200 machine hours
Explanation: Using the efficiency variance formula: Efficiency variance = (Actual hours - Standard hours) × Standard rate. Given: $5,000 F = (3,200 - Standard hours) × $25. Since the variance is favorable, actual hours were less than standard hours: $5,000 = (Standard hours - 3,200) × $25. Solving: $5,000 ÷ $25 = Standard hours - 3,200, so 200 = Standard hours - 3,200, therefore Standard hours = 3,400.

Question 3

A company manufactures two products, Alpha and Beta. Variable overhead is applied at a standard rate of $12 per machine hour. Standard and actual data for the month are as follows:

  • Product Alpha: 500 units produced. Standard of 2.0 MH/unit. Actual total MH used: 1,050.
  • Product Beta: 300 units produced. Standard of 3.0 MH/unit. Actual total MH used: 880.

What is the total variable overhead efficiency variance for the company for the month?

  1. $240 Favorable
  2. $360 Unfavorable (correct answer)
  3. $360 Favorable
  4. $840 Unfavorable
Explanation: To find the total variance, we must compare total actual hours to total standard hours allowed. First, calculate total standard hours: (500 units Alpha × 2.0 MH/unit) + (300 units Beta × 3.0 MH/unit) = 1,000 MH + 900 MH = 1,900 standard hours. Next, find total actual hours: 1,050 MH + 880 MH = 1,930 actual hours. Now, calculate the variance: (1,930 AH - 1,900 SH) × $12/MH = 30 hours × $12 = $360. Since actual hours are greater than standard hours, the variance is unfavorable.

Question 4

Variable overhead is allocated based on machine hours (MH), which includes both active run time and setup time. The standard is 4.0 MH per batch of 100 units. The standard VOH rate is $18 per MH. In June, the company produced 500 units (5 batches). Actual machine hours were 18 hours of run time and 3 hours of setup time.

What is the variable overhead efficiency variance?

  1. $18 Favorable
  2. $54 Unfavorable
  3. $36 Favorable
  4. $18 Unfavorable (correct answer)
Explanation: First, determine total standard hours allowed. The company produced 5 batches, so SH = 5 batches × 4.0 MH/batch = 20 MH. Next, determine total actual hours worked. This includes both run time and setup time: AH = 18 hours + 3 hours = 21 MH. Finally, calculate the efficiency variance: (Actual Hours - Standard Hours) × Standard Rate = (21 MH - 20 MH) × $18/MH = 1 MH × $18 = $18. Because actual hours exceeded standard hours, the variance is unfavorable.

Question 5

Pioneer Co. has a standard variable overhead rate of $8.00 per machine hour. For a recent production run of 1,000 units, the company used 2,100 machine hours. The company's controller determined that the actual variable overhead rate was 5% higher than the standard rate. What was the variable overhead spending variance for this production run?

  1. $800 Unfavorable
  2. $840 Unfavorable (correct answer)
  3. $800 Favorable
  4. $840 Favorable
Explanation: First, calculate the actual variable overhead rate: $8.00 × 1.05 = 8.40permachinehour.Thespendingvarianceformulais(ActualRateStandardRate)×ActualHours.So,(8.40 per machine hour. The spending variance formula is (Actual Rate - Standard Rate) × Actual Hours. So, (8.40 - $8.00) × 2,100 machine hours = $0.40 × 2,100 = $840. Since the actual rate was higher than the standard rate, the variance is unfavorable.

Question 6

Amalgamated Industries provides the following data related to its manufacturing operations for March:

  • Budgeted fixed overhead: $50,000
  • Standard variable overhead rate: $3.00 per direct labor hour
  • Standard direct labor hours per unit: 1.5 hours
  • Units in beginning work-in-process: 1,000
  • Units started and completed: 8,000
  • Actual direct labor hours worked: 12,300
  • Actual variable overhead incurred: $36,000

What is the variable overhead spending variance for March?

  1. $900 Unfavorable
  2. $1,500 Favorable
  3. $1,500 Unfavorable
  4. $900 Favorable (correct answer)
Explanation: The spending variance calculation ignores information about units produced, work-in-process, and fixed overhead. The formula is: Actual VOH - (Standard Rate × Actual Hours). Calculation: 36,000(36,000 - (3.00 × 12,300) = $36,000 - 36,900=36,900 = -900. A negative result indicates a favorable variance.

Question 7

Giga Industries uses a standard costing system and applies variable overhead based on direct labor hours. The following information is available for June:

  • Standard variable overhead rate: $6.00 per direct labor hour
  • Standard direct labor hours per unit: 2.5 hours
  • Actual units produced: 4,000 units
  • Actual direct labor hours worked: 10,300 hours
  • Total actual variable overhead cost: $60,750

What is the variable overhead spending variance for June?

  1. $1,050 Favorable (correct answer)
  2. $1,050 Unfavorable
  3. $1,800 Unfavorable
  4. $750 Unfavorable
Explanation: The variable overhead spending variance is calculated as Actual VOH Cost - (Standard Rate × Actual Hours). The formula is: 60,750(60,750 - (6.00/hour × 10,300 hours) = $60,750 - 61,800=61,800 = -1,050. A negative result indicates a favorable variance because the actual cost was less than what would be expected for the actual hours worked.

Question 8

A manufacturing firm applies variable overhead based on machine hours (MH). The standard rate is $4.00 per MH, and 1.5 MH are allowed per unit. The firm also tracks direct labor hours (DLH), with a standard of 2.0 DLH per unit. In April, 10,000 units were produced. Actual costs and hours were:

  • Actual machine hours: 15,500 MH
  • Actual direct labor hours: 19,800 DLH
  • Actual variable overhead cost: $63,550

What is the variable overhead efficiency variance for April?

  1. $2,000 Unfavorable (correct answer)
  2. $800 Favorable
  3. $1,920 Favorable
  4. $800 Unfavorable
Explanation: The variable overhead efficiency variance is based on the allocation base, which is machine hours. First, calculate the standard machine hours allowed for actual production: 10,000 units × 1.5 MH/unit = 15,000 MH. The formula is (Actual Hours - Standard Hours Allowed) × Standard Rate. Calculation: (15,500 MH - 15,000 MH) × $4.00/MH = 500 MH × $4.00/MH = $2,000. Since actual hours exceeded standard hours, the variance is unfavorable.

Question 9

A company reported a significant unfavorable variable overhead efficiency variance for the period. Its variable overhead spending variance was slightly favorable. Which of the following is the most plausible explanation for this combination of variances?

  1. The purchasing manager negotiated a lower price for indirect materials used in production.
  2. An unexpected utility rate increase occurred, affecting the cost per machine hour.
  3. The company used a higher proportion of newly hired, less-skilled workers on the production line. (correct answer)
  4. Actual production volume was substantially lower than the static budget forecast.
Explanation: An unfavorable efficiency variance means that more of the allocation base (e.g., labor hours, machine hours) was used than standard for the output achieved. Less-skilled workers are likely to take longer to complete tasks, increasing actual hours and causing an unfavorable efficiency variance. The favorable spending variance is a secondary effect and could be coincidental or related (e.g., these workers use supplies more carefully), but the primary driver of the efficiency variance is the use of more hours. Choice A only explains the spending variance. Choice B would cause an unfavorable spending variance. Choice D affects the volume variance in a fixed overhead context but does not directly explain the VOH efficiency variance.

Question 10

For the month of October, Aero Manufacturing reported a total actual variable overhead cost of $43,000 based on 4,800 machine hours worked. The company also reported a $2,600 unfavorable variable overhead spending variance for the month.

Based on this information, what is the standard variable overhead rate per machine hour?

  1. $8.42 (correct answer)
  2. $8.96
  3. $9.50
  4. $8.38
Explanation: The spending variance formula is: Actual VOH - (Standard Rate × Actual Hours). We can rearrange this to solve for the Standard Rate (SR). $2,600 = $43,000 - (SR × 4,800 hours). Rearranging: (SR × 4,800) = $43,000 - $2,600. (SR × 4,800) = $40,400. SR = $40,400 / 4,800 hours = $8.4166... or approximately $8.42.

Question 11

Zenith Corp. produces a single product and applies variable overhead based on direct labor hours. The company's standards allow for 2.0 direct labor hours per unit at a standard rate of $7.50 per hour. During July, the company produced 1,500 units. The accounting records show that 3,120 direct labor hours were worked, and the total variable overhead cost incurred was $24,180.

What is the variable overhead spending variance for July?

  1. $780 Unfavorable (correct answer)
  2. $900 Unfavorable
  3. $780 Favorable
  4. $900 Favorable
Explanation: The spending variance focuses on the cost per hour, comparing the actual total cost to what it should have been for the actual hours worked. The calculation is: Actual VOH Cost - (Standard Rate × Actual Hours) = 24,180(24,180 - (7.50 × 3,120) = $24,180 - $23,400 = $780. Since the actual cost is higher, the variance is unfavorable.

Question 12

Orion Company's static budget for May was based on production of 5,000 units, with a standard of 3 direct labor hours per unit for a total of 15,000 standard hours. The standard variable overhead rate is $5 per direct labor hour. In May, the company actually produced 5,200 units and worked 15,800 direct labor hours.

What is Orion's variable overhead efficiency variance for May?

  1. $4,000 Unfavorable
  2. $1,000 Unfavorable (correct answer)
  3. $1,000 Favorable
  4. $5,000 Unfavorable
Explanation: The efficiency variance must be based on the standard hours allowed for the actual level of production, not the static budget. First, calculate standard hours allowed: 5,200 units produced × 3 hours/unit = 15,600 standard hours. Then, calculate the variance: (Actual Hours - Standard Hours Allowed) × Standard Rate = (15,800 - 15,600) × $5 = 200 hours × $5 = $1,000. Because actual hours were greater than standard hours, the variance is unfavorable.

Question 13

Matrix Corp. applies variable overhead based on machine hours. For the current period, the following data is available:

  • Standard machine hours per unit: 0.8 hours
  • Standard variable overhead rate: $20.00 per hour
  • Actual units produced: 10,000 units
  • Actual machine hours worked: 8,300 hours
  • Actual variable overhead rate: $19.50 per hour

What is the variable overhead efficiency variance for the period?

  1. $5,850 Unfavorable
  2. $6,000 Unfavorable (correct answer)
  3. $4,150 Unfavorable
  4. $6,000 Favorable
Explanation: The variable overhead efficiency variance formula is (Actual Hours - Standard Hours Allowed) × Standard Rate. First, determine the standard hours allowed for actual production: 10,000 units × 0.8 hours/unit = 8,000 standard hours. Then, apply the formula: (8,300 actual hours - 8,000 standard hours) × $20.00 standard rate = 300 hours × $20.00 = $6,000. Since actual hours exceeded standard hours, the variance is unfavorable. The actual rate of $19.50 is only used for the spending variance.

Question 14

A manufacturing company applies variable overhead based on machine hours. The company's static budget for the year was based on producing 100,000 units, requiring 50,000 machine hours. For the most recent month, the company produced 8,000 units. The standard variable overhead cost per unit is $12.00, based on a standard of 0.5 machine hours per unit.

Actual machine hours for the month totaled 4,300, and the standard variable overhead rate is $24.00 per machine hour. What is the variable overhead efficiency variance for the month?

  1. $7,200 Unfavorable (correct answer)
  2. $7,200 Favorable
  3. $16,800 Unfavorable
  4. $16,800 Favorable
Explanation: The variable overhead efficiency variance is calculated as (Actual Hours - Standard Hours Allowed) × Standard Rate. First, calculate the standard hours allowed for the actual output: 8,000 units × 0.5 machine hours/unit = 4,000 standard hours. Then, apply the formula: (4,300 actual hours - 4,000 standard hours) × $24.00/hour = 300 hours × $24.00/hour = $7,200. Since actual hours exceeded standard hours, the variance is unfavorable.

Question 15

A company's purchasing department variable overhead is allocated based on the number of purchase orders processed. The standard is one purchase order per $5,000 of raw materials purchased, at a standard cost of $40 per order. In the last quarter, the company purchased $640,000 of raw materials by processing 135 purchase orders. Actual variable overhead for the department was $5,250.

What was the purchasing department's variable overhead efficiency variance for the quarter?

  1. $280 Favorable
  2. $150 Unfavorable
  3. $150 Favorable
  4. $280 Unfavorable (correct answer)
Explanation: The allocation base is purchase orders. First, calculate the standard number of purchase orders (SH) allowed: $640,000 materials / $5,000 per order = 128 standard orders. The actual number of orders (AH) was 135. The standard rate (SR) is $40 per order. The efficiency variance is (AH - SH) × SR = (135 - 128) × $40 = 7 × $40 = $280. Since more orders were processed than standard, the variance is unfavorable.

Question 16

A company budgets variable overhead at $10.00 per direct labor hour. In a recent period, the company produced 5,000 units and incurred an unfavorable variable overhead efficiency variance of $4,000. The actual direct labor hours worked during the period were 10,400.

What is the standard number of direct labor hours allowed per unit of output?

  1. 1.92 hours
  2. 2.08 hours
  3. 2.00 hours (correct answer)
  4. 2.16 hours
Explanation: This requires working backward from the efficiency variance. The formula is (AH - SH) × SR = Efficiency Variance. Plugging in the known values: (10,400 - SH) × $10.00 = $4,000. Divide both sides by $10: 10,400 - SH = 400. Solve for total standard hours (SH): SH = 10,400 - 400 = 10,000 hours. To find the standard hours per unit, divide total standard hours by the number of units produced: 10,000 hours / 5,000 units = 2.00 hours per unit.

Question 17

A company allocates variable manufacturing overhead based on direct labor hours. An unfavorable direct labor efficiency variance is recorded for the period. Assuming no other changes in production processes or costs, what is the most likely corresponding impact on the variable overhead variances?

  1. A favorable variable overhead efficiency variance.
  2. An unfavorable variable overhead efficiency variance. (correct answer)
  3. An unfavorable variable overhead spending variance.
  4. No direct impact on any variable overhead variance.
Explanation: An unfavorable direct labor efficiency variance means that actual direct labor hours were greater than the standard hours allowed for the output. Since variable overhead is allocated based on direct labor hours, the overuse of labor hours (AH > SH for labor) will directly lead to an overuse of the allocation base for overhead. This results in an unfavorable variable overhead efficiency variance, which is calculated as (AH - SH) × SR.

Question 18

A company has a $4,000 unfavorable variable overhead spending variance and a $2,500 favorable variable overhead efficiency variance. The standard variable overhead rate is $20 per hour, and 10,000 actual hours were worked.

What was the total actual variable overhead cost for the period?

  1. $200,000
  2. $201,500
  3. $204,000 (correct answer)
  4. $196,000
Explanation: This can be solved using just the spending variance information. The formula is: Spending Variance = Actual VOH - (Standard Rate × Actual Hours). Plugging in the values: 4,000=ActualVOH(4,000 = Actual VOH - (20 × 10,000). $4,000 = Actual VOH - $200,000. Solving for Actual VOH: Actual VOH = $200,000 + $4,000 = $204,000.

Question 19

For the year, a company reported a total variable overhead variance of $500 Favorable. The variable overhead efficiency variance was determined to be $2,000 Unfavorable. The standard variable overhead rate is $25 per standard machine hour allowed.

If 10,000 standard machine hours were allowed for the year's production, what was the total actual variable overhead cost?

  1. $247,500
  2. $250,500
  3. $252,500
  4. $249,500 (correct answer)
Explanation: The total variance formula is: Total Variance = Actual VOH - (Standard Hours × Standard Rate). We are given all values except Actual VOH. Let's plug them in, with Favorable as negative and Unfavorable as positive: -$500 = Actual VOH - (10,000 hours × 25/hour).25/hour). -500 = Actual VOH - $250,000. Rearranging to solve for Actual VOH: Actual VOH = $250,000 - $500 = $249,500.

Question 20

Alpine Products has a standard variable overhead rate of $22 per machine hour. In March, the company incurred $95,700 in actual variable overhead costs and used 4,500 machine hours. The standard hours allowed for actual production were 4,200 hours. If management wants to analyze what portion of the total variance is due to using a different overhead rate than standard versus using more hours than standard, what are the spending and efficiency variances respectively?

  1. $4,800 unfavorable spending; $6,600 unfavorable efficiency
  2. $3,300 favorable spending; $6,600 unfavorable efficiency (correct answer)
  3. $6,600 unfavorable spending; $4,800 unfavorable efficiency
  4. $2,100 unfavorable spending; $6,600 unfavorable efficiency
Explanation: Spending variance = Actual OH - (Actual hours × Standard rate) = $95,700 - (4,500 × $22) = $95,700 - $99,000 = $3,300 F. Efficiency variance = (Actual hours - Standard hours) × Standard rate = (4,500 - 4,200) × $22 = 300 × $22 = $6,600 U. The favorable spending variance indicates actual rates were lower than standard, while the unfavorable efficiency variance shows more hours were used than standard.