Portland
Company's Ironton Plant produces precast ingots for industrial use.
Carlos Santiago, who was recently appointed general manager of the
Ironton Plant, has just been handed the plant’s contribution format
income statement for October. The statement is shown below:
Budgeted | Actual | |||
Sales (3,000 ingots) | $ | 250,000 | $ | 250,000 |
Variable expenses: | ||||
Variable cost of goods sold* | 53,430 | 67,000 | ||
Variable selling expenses | 26,000 | 26,000 | ||
Total variable expenses | 79,430 | 93,000 | ||
Contribution margin | 170,570 | 157,000 | ||
Fixed expenses: | ||||
Manufacturing overhead | 67,000 | 67,000 | ||
Selling and administrative | 92,000 | 92,000 | ||
Total fixed expenses | 159,000 | 159,000 | ||
Net operating income (loss) | $ | 11,570 | $ | (2,000) |
*Contains direct materials, direct labor, and variable manufacturing overhead. |
Mr. Santiago was shocked to see the loss for the month,
particularly because sales were exactly as budgeted. He stated, "I sure
hope the plant has a standard cost system in operation. If it doesn't, I
won't have the slightest idea of where to start looking for the
problem."
|
The plant does use a standard cost system, with the following standard variable cost per ingot:
|
Standard Quantity or Hours | Standard Price or Rate | Standard Cost | |||
Direct materials | 4.2 pounds | $ | 2.80 per pound | $ | 11.76 |
Direct labor | 0.5 hours | $ | 8.30 per hour | 4.15 | |
Variable manufacturing overhead | 0.5 hours* | $ | 3.80 per hour | 1.90 | |
Total standard variable cost | $ | 17.81 | |||
*Based on machine-hours. |
During October the plant produced 3,000 ingots and incurred the following costs: |
a. |
Purchased
17,600 pounds of materials at a cost of $3.25 per pound. There were no
raw materials in inventory at the beginning of the month.
|
b. |
Used
12,400 pounds of materials in production. (Finished goods and work in
process inventories are insignificant and can be ignored.)
|
c. | Worked 2,100 direct labor-hours at a cost of $8.00 per hour. |
d. |
Incurred a total variable manufacturing overhead cost of $7,560 for the month. A total of 1,800 machine-hours was recorded.
|
It is the company’s policy to close all variances to cost of goods sold on a monthly basis. |
Required: |
1. | Compute the following variances for October: |
a. |
Direct materials price and quantity variances. (Input
all amounts as positive values. Leave no cells blank - be certain to
enter "0" wherever required. Indicate the effect of each variance by
selecting "F" for favorable, "U" for unfavorable, and "None" for no
effect (i.e., zero variance). Omit the "$" sign in your response.)
|
Materials price variance | $ | U |
Materials quantity variance | $ | F |
b. |
Direct labor rate and efficiency variances. (Input
all amounts as positive values. Leave no cells blank - be certain to
enter "0" wherever required. Indicate the effect of each variance by
selecting "F" for favorable, "U" for unfavorable, and "None" for no
effect (i.e., zero variance). Omit the "$" sign in your response.)
|
Labor rate variance | $ | F |
Labor efficiency variance | $ | U |
c. |
Variable overhead rate and efficiency variances. (Input
all amounts as positive values. Do not round your intermediate
calculations. Leave no cells blank - be certain to enter "0" wherever
required. Indicate the effect of each variance by selecting "F" for
favorable, "U" for unfavorable, and "None" for no effect (i.e., zero
variance). Omit the "$" sign in your response.)
|
Variable overhead rate variance | $ | U |
Variable overhead efficiency variance | $ | U |
2a. |
Summarize
the variances that you computed in (1) above by showing the net overall
favorable or unfavorable variance for October. (Input
the amount as a positive value. Leave no cells blank - be certain to
enter "0" wherever required. Indicate the effect of each variance by
selecting "F" for favorable, "U" for unfavorable, and "None" for no
effect (i.e., zero variance). Omit the "$" sign in your response.)
|
Net variance | $ | U |
3. |
Pick out the two most significant variances that you computed in (1) above. (You
may select more than one answer. Single click the box with the question
mark to produce a check mark for a correct answer and double click the
box with the question mark to empty the box for a wrong answer.)
| ||||||||||||
|
Explanation:
1.
a.
1.
b.
1.
c.
2.
Summary of variances:
3.
a.
Standard Quantity Allowed for Actual Output, at Standard Price | Actual Quantity of Input, at Standard Price | Actual Quantity of Input, at Actual Price | |||||
(SQ × SP) | (AQ × SP) | (AQ × AP) | |||||
12,600 pounds* × $2.80 per pound | 12,400 pounds × $2.80 per pound | 17,600 pounds × $3.25 per pound | |||||
= $35,280 | = $34,720 | = $57,200 | |||||
Materials quantity
| |||||||
variance = $560 F
| |||||||
17,600 pounds × | |||||||
$2.80 per pound | |||||||
= $49,280 | |||||||
Materials price variance
= $7,920 U |
*3,000 ingots × 4.2 pounds per ingot = 12,600 pounds |
1.
b.
Standard Hours Allowed for Actual Output, at Standard Rate | Actual Hours of Input, at Standard Rate | Actual Hours of Input, at Actual Rate | |||||
(SH × SR) | (AH × SR) | (AH × AR) | |||||
1,500 hours* × $8.30 per hour | 2,100 hours × $8.30 per hour | 2,100 hours × $8.00 per hour | |||||
= $12,450 | = $17,430 | = $16,800 | |||||
Labor efficiency variance
= $4,980 U |
Labor rate variance
= $630 F | ||||||
Spending Variance = $4,350 U
|
*3,000 ingots × 0.5 hour per ingot = 1,500 hours |
1.
c.
Standard Hours Allowed for Actual Output, at Standard Rate | Actual Hours of Input, at Standard Rate | Actual Hours of Input, at Actual Rate | |||||
(SH × SR) | (AH × SR) | (AH × AR) | |||||
1,500 hours* × $3.80 per hour | 1,800 hours × $3.80 per hour | ||||||
= $5,700 | = $6,840 | $7,560 | |||||
Variable overhead
efficiency variance = $1,140 U |
Variable overhead
rate variance = $720 U | ||||||
Spending variance = $1,860 U
|
*3,000 ingots × 0.5 hours per ingot = 1,500 hours |
2.
Summary of variances:
Material quantity variance | $ | 560 | F |
Material price variance | 7,920 | U | |
Labor efficiency variance | 4,980 | U | |
Labor rate variance | 630 | F | |
Variable overhead efficiency variance | 1,140 | U | |
Variable overhead rate variance | 720 | U | |
Net variance | $ | 13,570 | U |
The
net unfavorable variance of $13,570 for the month caused the plant’s
variable cost of goods sold to increase from the budgeted level of
$53,430 to $67,000 :
|
Budgeted cost of goods sold at $17.81 per ingot | $ | 53,430 |
Add the net unfavorable variance (as above) | 13,570 | |
Actual cost of goods sold | $ | 67,000 |
This
$13,570 net unfavorable variance also accounts for the difference
between the budgeted net operating income and the actual net loss for
the month.
|
Budgeted net operating income | $ | 11,570 | |
Deduct the net unfavorable variance added to cost of goods sold for the month | 13,570 | ||
Net operating loss | $ | (2,000 | ) |
3.
The
two most significant variances are the materials price variance and the
labor efficiency variance. Possible causes of the variances include:
|
Materials price variance: |
Outdated standards, uneconomical quantity purchased, higher quality materials, high-cost method of transport.
|
Labor efficiency variance: |
Poorly trained workers, poor quality materials, faulty equipment, work interruptions, inaccurate standards, insufficient demand.
|
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