Spending & Efficiency Variances - Managerial Accounting

1. At the start of the year, a company budgeted production of 10,000 units, with a standard of 2.0 direct labor hours per unit. During the year, the company actually produced 11,000 units, using 21,500 actual labor hours. The standard labor rate is \($18 per hour. What is the direct labor efficiency variance?
   Answer: \($9,000 favorable The labor efficiency variance must be based on the standard hours allowed for the actual level of production, not the budgeted level. 1. Standard Hours (SH) Allowed for Actual Output: 11,000 units produced × 2.0 hours/unit = 22,000 hours. 2. Actual Hours (AH) Worked: 21,500 hours. 3. Standard Rate (SR): \($18 per hour. 4. Efficiency Variance Formula: SR(AH - SH) = \($18(21,500 - 22,000) = \($18(-500) = -\($9,000, or \($9,000 Favorable. Distractor (C) is a common error, calculated using the original budgeted hours (20,000) instead of the standard hours allowed for actual output: \($18(21,500 - 20,000) = \($27,000 U.
2. Given this information, what is the material quantity variance?
   Answer: \($2,500 unfavorable The quantity variance is based on the materials used, not purchased. The journal entry details are partially a distraction. 1. Standard Price (SP): \($5.00 per pound (given). 2. Actual Quantity (AQ) Used: 8,500 pounds (given). 3. Standard Quantity (SQ) Allowed: 4,000 finished goods × 2 pounds/good = 8,000 pounds. 4. Quantity Variance Formula: SP(AQ_used - SQ) = \($5.00(8,500 - 8,000) = \($5.00(500) = \($2,500 Unfavorable. Distractor (A) incorrectly uses the quantity purchased (8,000 lbs, derived from \($40,000 / \($5.00/lb)) instead of the quantity used. Distractor (B) is the price variance from the journal entry. Distractor (C) is a sign error.
3. A company's flexible budget applies variable overhead at a standard rate of \($5.00 per unit produced. Last month, the budget was set for 10,000 units, but actual production was 11,000 units. Actual variable overhead costs for the month totaled \($57,000. What was the variable overhead efficiency variance?
   Answer: \($0 This is a conceptual trap. The efficiency variance measures the efficiency of the use of the input (the allocation base). Here, the allocation base is units of output. The standard quantity of the allocation base (units) allowed for the actual output (11,000 units) is exactly the same as the actual quantity of the allocation base (11,000 units). Therefore, there can be no efficiency variance. * SR = \($5.00/unit * AH (Actual units) = 11,000 * SH (Standard units allowed for actual output) = 11,000 * SR(AH - SH) = \($5.00(11,000 - 11,000) = \($0. Distractor (B) is the spending variance: \($57,000 - (11,000 × ($5) = \($2,000 U. Distractor (C) incorrectly compares actual output to budgeted output.
4. What were the actual hours worked (AH) and the actual wage rate (AR) paid during June?
   Answer: AH = 3,600 hours; AR = \($16.00/hr This is a two-step problem requiring solving for two unknowns using the two variance formulas. 1. Find Actual Hours (AH) using the efficiency variance. First, find Standard Hours (SH): 1,900 units × 2 hrs/unit = 3,800 hrs. 2. Efficiency Variance = SR(AH - SH) => -\($3,000 = \($15.00(AH - 3,800). Divide by \($15: -200 = AH - 3,800. Thus, AH = 3,600 hours. 3. Find Actual Rate (AR) using the rate variance and the AH just calculated. 4. Rate Variance = AH(AR - SR) => \($3,600 = 3,600(AR - ($15.00). Divide by 3,600: \($1.00 = AR - \($15.00. Thus, AR = \($16.00/hr.
5. What is the company's variable overhead spending variance for May?
   Answer: \($7,000 unfavorable The variable overhead spending variance isolates the variable components. It compares actual variable overhead to the budgeted variable overhead for the actual hours worked. 1. Actual Variable Overhead: Total Actual OH - Actual Fixed OH = \($53,000 - \($22,000 = \($31,000. 2. Standard Variable Rate (SR): \($3.00 per DLH (from the formula). 3. Actual Hours (AH): 8,000 DLH. 4. Spending Variance Formula: Actual VOH - (AH × SR) = \($31,000 - (8,000 × ($3.00) = \($31,000 - \($24,000 = \($7,000 Unfavorable. Distractor (A) is the VOH efficiency variance: \($3.00(8,000 - 8,200) = \($600 F. Distractor (B) is the fixed overhead budget variance: \($22,000 - \($20,000 = \($2,000 U. Distractor (D) is the total overhead spending variance: (\($7,000 U) + (\($2,000 U) = \($9,000 U.
6. What is the total direct material quantity (efficiency) variance for May?
   Answer: \($400 unfavorable The total quantity variance is the sum of the individual quantity variances for each material. 1. Calculate Standard Quantities (SQ): * SQ for P: 1,000 units × 2 kg/unit = 2,000 kg. * SQ for Q: 1,000 units × 3 kg/unit = 3,000 kg. 2. Calculate Quantity Variance for Each Material: Variance = SP(AQ - SQ) * Variance for P: \($5.00(2,100 kg - 2,000 kg) = \($500 Unfavorable. * Variance for Q: \($2.00(2,950 kg - 3,000 kg) = -\($100, or \($100 Favorable. 3. Sum the Variances: \($500 U + \($100 F = \($400 Unfavorable. Distractor (A) represents the total price variance if actual prices were \($5.10 for P and \($1.90 for Q. Distractor (C) incorrectly uses hypothetical actual prices in the quantity variance calculation. Distractor (D) incorrectly adds the absolute values of the variances (\($500 + ($100).
7. If the direct materials spending variance is $384 Favorable and the total direct materials variance is $651 Unfavorable, what is the direct materials efficiency variance?
   Answer: $1,035 Unfavorable The total direct materials variance equals the spending variance plus the efficiency variance. Given: Spending variance = $384 Favorable, Total variance = $651 Unfavorable. Using the relationship: Total Variance = Spending Variance + Efficiency Variance, we get: $651 Unfavorable = $384 Favorable + Efficiency Variance. Therefore: Efficiency Variance = $651 Unfavorable - $384 Favorable = $651 + $384 = $1,035 Unfavorable. Choice B incorrectly subtracts the variances. Choice C has the wrong sign. Choice D uses an incorrect calculation method.
8. The variable overhead spending variance for a period was \($5,000 favorable. Which of the following conclusions is NOT necessarily valid based solely on this information?
   Answer: The total actual variable overhead cost was less than the flexible budget amount for the period. The total flexible budget variance for variable overhead is the sum of the spending variance and the efficiency variance. A favorable spending variance (\($5,000 F) could be more than offset by a large unfavorable efficiency variance (e.g., \($8,000 U), resulting in a total actual cost that is higher than the flexible budget amount (\($3,000 U overall). Therefore, one cannot conclude that total actual VOH cost was less than the flexible budget. Choice (A) is the definition of a favorable spending variance. Choice (C) is a plausible cause for a favorable spending variance. Choice (D) is also not guaranteed, but it is less directly contradicted than (B). The most direct invalid conclusion relates to the total flexible budget variance, which includes efficiency.
9. A company's purchasing manager secured a bulk discount by buying a large quantity of a lower-grade material, resulting in a large favorable material price variance. During production, this material was difficult for laborers to handle and caused frequent machine jams.
   Answer: Unfavorable material quantity variance and unfavorable labor efficiency variance. This question tests the understanding of interrelationships between variances. Buying lower-quality material (causing the favorable price variance) is likely to have negative consequences in production. The poor quality would lead to more waste (unfavorable material quantity variance) and the difficulty in handling and machine jams would require more labor time to produce the same output (unfavorable labor efficiency variance).
10. What is the company's variable overhead efficiency variance for the quarter?
    Answer: \($500 unfavorable The VOH efficiency variance must be calculated using the specified allocation base, which is machine hours. All direct labor hour information is irrelevant for this specific calculation. 1. Standard Hours (SH) Allowed: 500 units × 1.5 MH/unit = 750 MH. 2. Actual Hours (AH) Worked: 800 MH. 3. Standard Rate (SR): \($10.00 per MH. 4. Efficiency Variance Formula: SR(AH - SH) = \($10.00(800 MH - 750 MH) = \($10.00(50) = \($500 Unfavorable. Distractor (A) incorrectly uses direct labor hours with the VOH rate: \($10(980 - 1000) = \($200 F. Distractor (B) is the direct labor efficiency variance: \($20(980 - 1000) = \($400 F. Distractor (C) is the variable overhead spending variance: \($8,300 - (800 MH × ($10.00) = \($300 U.
11. The standard price for a key raw material is \($8.00 per pound. In May, a company purchased 5,000 pounds of this material at a price 5% higher than standard. The company used 4,600 pounds to produce 1,000 units, for which the standard allowance is 4.8 pounds per unit. What is the material price variance?
    Answer: \($2,000 unfavorable The material price variance is calculated based on the quantity of material purchased, not the quantity used. Information about usage and production output is extraneous for this specific question. 1. Actual Quantity (AQ) Purchased: 5,000 pounds. 2. Standard Price (SP): \($8.00 per pound. 3. Actual Price (AP): \($8.00 × 1.05 = \($8.40 per pound. 4. Price Variance Formula: AQ_purchased(AP - SP) = 5,000(\($8.40 - ($8.00) = 5,000(($0.40) = \($2,000 Unfavorable. Distractor (B) incorrectly uses the quantity used (4,600 pounds) in the calculation. Distractor (A) represents the material quantity variance: \($8.00(4,600 - 4,800) = \($1,600 F.
12. A manufacturing company's standard for direct labor is 2 hours per unit at a rate of \($15.00 per hour. In the previous month, 1,000 units were produced. The direct labor efficiency variance was \($1,500 unfavorable, and the total actual direct labor cost was \($33,600. What was the actual wage rate paid per hour?
    Answer: \($16.00 This is a multi-step problem that requires working backwards. First, determine the actual hours worked (AH) using the efficiency variance, then use AH and the total actual cost to find the actual rate (AR). 1. Standard Hours (SH) Allowed: 1,000 units × 2 hours/unit = 2,000 hours. 2. Labor Efficiency Variance Formula: SR(AH - SH) = \($1,500 U. So, \($15.00(AH - 2,000) = \($1,500. 3. Solve for AH: AH - 2,000 = \($1,500 / \($15.00 = 100 hours. Therefore, AH = 2,100 hours. 4. Solve for AR: Total Actual Cost = AH × AR. So, \($33,600 = 2,100 hours × AR. 5. AR = \($33,600 / 2,100 hours = \($16.00 per hour.
13. A firm produced 2,000 widgets. It purchased and used 6,500 pounds of material X at a total cost of \($31,200. The resulting material price variance was \($1,300 favorable, and the material quantity variance was \($2,500 unfavorable. What is the standard quantity of material X allowed per widget?
    Answer: 3.00 pounds This multi-step problem requires finding the standard price (SP) first, then using it to find the total standard quantity (SQ), and finally dividing by production to get the per-unit standard. 1. Find Actual Price (AP): \($31,200 / 6,500 lbs = \($4.80/lb. 2. Find Standard Price (SP) using the price variance formula: AQ(AP - SP) = \($1,300 F. So, 6,500(\($4.80 - SP) = -\($1,300. This simplifies to \($4.80 - SP = -\($0.20, so SP = \($5.00/lb. 3. Find Total Standard Quantity (SQ) using the quantity variance formula: SP(AQ - SQ) = \($2,500 U. So, \($5.00(6,500 - SQ) = \($2,500. 4. Solve for SQ: 6,500 - SQ = \($2,500 / \($5.00 = 500. Therefore, SQ = 6,000 pounds. 5. Find Standard Quantity per Unit: 6,000 pounds / 2,000 widgets = 3.00 pounds/widget.
14. What is the variable overhead spending variance for September?
    Answer: $810 Unfavorable Variable overhead spending variance = (Actual Rate - Standard Rate) × Actual Hours. Actual variable overhead rate = $65,610 ÷ 4,050 hours = $16.20 per hour. Standard rate = $16.00 per hour. Spending variance = ($16.20 - $16.00) × 4,050 = $0.20 × 4,050 = $810 Unfavorable. Choice A incorrectly calculates the efficiency variance or uses wrong hours. Choice C uses the wrong sign or calculation method. Choice D uses an incorrect rate calculation or different hours.
15. A company's performance report indicates a significant favorable direct labor efficiency variance alongside a significant unfavorable direct labor rate variance for the same period. Which of the following scenarios is the most likely cause for this combination of variances?
    Answer: The production manager utilized more highly skilled workers, who were paid a higher wage but completed the work in less time than the standard. This question tests the interpretation and interrelationship of variances. An unfavorable rate variance means the company paid more per hour than the standard (AR > SR). A favorable efficiency variance means the company used fewer hours than the standard allowed (AH < SH). Using more skilled, higher-paid workers who are more productive is a classic explanation for this pattern. They cost more per hour (unfavorable rate variance) but get the job done faster (favorable efficiency variance). Distractor (B) would cause a favorable rate variance and an unfavorable efficiency variance. Distractor (C) primarily explains material variances, not labor variances. Distractor (D) is plausible, but the use of more skilled workers in (A) is a more direct and common explanation for this specific pair of labor variances.
16. For August, a company's total actual direct labor cost was \($88,200. The actual wage rate was \($21.00 per hour, while the standard wage rate is \($20.00 per hour. The direct labor efficiency variance for the month was \($2,000 unfavorable. What were the total standard hours allowed for the production achieved in August?
    Answer: 4,100 hours This problem requires first calculating the actual hours worked, and then using that result in the efficiency variance formula to solve for standard hours. 1. Find Actual Hours (AH): Total Actual Cost / Actual Rate = \($88,200 / \($21.00/hr = 4,200 hours. 2. Use the Efficiency Variance Formula: SR(AH - SH) = Variance. 3. Plug in known values: \($20.00(4,200 - SH) = \($2,000 Unfavorable. 4. Solve for SH: 4,200 - SH = \($2,000 / \($20.00 = 100. So, SH = 4,200 - 100 = 4,100 hours. Distractor (B) is the actual hours worked. Distractor (C) is the result of a sign error when solving the variance formula (SH = 4200 + 100). Distractor (D) is the result of dividing total actual cost by the standard rate (\($88,200 / ($20.00), a common misstep.
17. Based on this information, which manager should be questioned FIRST regarding the unfavorable variances, and what is the most likely root cause?
    Answer: The Purchasing Manager; the purchase of low-quality materials at a discount likely caused production issues. The pattern of variances suggests a single root cause. A large favorable price variance often means materials were purchased for a price below standard. This can be achieved by buying lower-quality goods. Lower-quality materials often lead to more waste (unfavorable quantity variance) and require more labor time to process (unfavorable labor efficiency variance). Therefore, the purchasing manager's decision is the most likely starting point for all three variances.
18. Apex Industries uses a standard costing system for its single product. The standard for direct materials is 2 pounds per unit at a price of \($2.50 per pound. During July, the company purchased 10,000 pounds of material at a total cost of \($26,000. It then used 8,200 pounds of that material to produce 4,000 units. What was the direct material quantity (efficiency) variance for July?
    Answer: \($500 unfavorable The material quantity variance is based on the quantity of materials used in production, not the quantity purchased. It is calculated using the standard price. 1. Standard Quantity (SQ) Allowed: 4,000 units produced × 2 pounds/unit = 8,000 pounds. 2. Actual Quantity (AQ) Used: 8,200 pounds. 3. Standard Price (SP): \($2.50 per pound. 4. Quantity Variance Formula: SP(AQ_used - SQ) = \($2.50(8,200 - 8,000) = \($2.50(200) = \($500 Unfavorable. Distractor (B) uses the actual price (($2.60) in the calculation. Distractor (C) is the material price variance: 10,000 lbs purchased × (\($2.60 - ($2.50) = \($1,000 U. Distractor (D) incorrectly uses the quantity purchased in the quantity variance formula: \($2.50(10,000 - 8,000) = \($5,000 U.
19. What is the labor efficiency variance for this first production run?
    Answer: \($1,600 unfavorable Variances should be calculated against the standard that was in effect for the period in question. In this case, the relevant standard is the temporary one of 3.0 hours per unit, not the long-run engineering standard. 1. Standard Hours (SH) Allowed: 500 units × 3.0 hours/unit = 1,500 hours. 2. Actual Hours (AH) Worked: 1,580 hours. 3. Standard Rate (SR): \($20 per hour. 4. Efficiency Variance: SR(AH - SH) = \($20(1,580 - 1,500) = \($20(80) = \($1,600 Unfavorable. Distractor (D) is a common error, calculated using the irrelevant long-run standard: \($20(1,580 - (500 × 2.5)) = \($20(1,580 - 1,250) = \($6,600 U.
20. The standard for a product requires 4.0 kilograms of input material per finished unit. This standard includes a 20% allowance for normal spoilage relative to the good material that remains in the finished unit. The company produced 1,000 units and used 4,150 kg of material. The standard price is \($10 per kg. What is the material quantity variance?
    Answer: \($1,500 unfavorable The key is to use the correct standard quantity per unit provided in the problem, which already incorporates the spoilage allowance. The breakdown of the standard is extra information designed to test understanding. 1. Standard Quantity (SQ) per unit: 4.0 kg (given). 2. Total Standard Quantity (SQ) Allowed: 1,000 units × 4.0 kg/unit = 4,000 kg. 3. Actual Quantity (AQ) Used: 4,150 kg. 4. Standard Price (SP): \($10/kg. 5. Quantity Variance: SP(AQ - SQ) = \($10(4,150 - 4,000) = \($1,500 Unfavorable. Distractor (D) incorrectly calculates the standard based only on good material output (1000 units * 3.2kg = 3200kg). Distractor (B) incorrectly calculates the standard as 3.2kg * 1.2 = 3.84kg per unit.

Start this quiz