Question

Trico Company set the following standard unit costs for its single product. Direct materials (30 Ibs. @ $4 per Ib.) $ 120.00 Direct labor (5 hrs. @ $14 per hr.) 70.00 Factory overhead—variable (5 hrs. @ $8 per hr.) 40.00 Factory overhead—fixed (5 hrs. @ $10 per hr.) 50.00 Total standard cost $ 280.00 The predetermined overhead rate is based on a planned operating volume of 80% of the productive capacity of 60,000 units per quarter. The following flexible budget information is available. Operating Levels 70% 80% 90% Production in units 42,000 48,000 54,000 Standard direct labor hours 210,000 240,000 270,000 Budgeted overhead Fixed factory overhead $ 2,400,000 $ 2,400,000 $ 2,400,000 Variable factory overhead $ 1,680,000 $ 1,920,000 $ 2,160,000 During the current quarter, the company operated at 90% of capacity and produced 54,000 units of product; actual direct labor totaled 265,000 hours. Units produced were assigned the following standard costs. Direct materials (1,620,000 Ibs. @ $4 per Ib.) $ 6,480,000 Direct labor (270,000 hrs. @ $14 per hr.) 3,780,000 Factory overhead (270,000 hrs. @ $18 per hr.) 4,860,000 Total standard cost $ 15,120,000 Actual costs incurred during the current quarter follow. Direct materials (1,615,000 Ibs. @ $4.10 per lb.) $ 6,621,500 Direct labor (265,000 hrs. @ $13.75 per hr.) 3,643,750 Fixed factory overhead costs 2,350,000 Variable factory overhead costs 2,200,000 Total actual costs $ 14,815,250

1. Compute the direct materials cost variance, including its price and quantity variances.

2. Compute the direct labor cost variance, including its rate and efficiency variances.

3. Compute the overhead controllable and volume variances.

Answer 1

Solution 1:

Direct Material Cost Variance
Actual Cost				Standard cost for actual quantity				Standard Cost
AQ *	AP =			AQ *	SP =			SQ *	SP =
1615000	$4.10	$6,621,500.00		1615000	$4.00	$6,460,000.00		1620000	$4.00	$6,480,000.00
			$161,500 U				$20,000 F
			Direct Material Price Variance				Direct Material Qty variance

Direct material price variance = $161,500 U

Direct material quantity variance = $20,000 F

Direct material cost variance = $161,500 U + $20,000 F = $141,500 U

Solution 2:

Direct Labor Cost Variance
Actual Cost				Standard cost for actual quantity				Standard Cost
AH*	AR =			AH*	SR =			SH *	SR =
265000	$13.75	$3,643,750.00		265000	$14.00	$3,710,000.00		270000	$14.00	$3,780,000.00
			$66,250 F				$70,000 F
			Direct labor rate Variance				Direct Labor efficiency variance

Direct labor rate variance = $66,250 F

Direct labor efficiency variance = $70,000 F

Direct labor cost variance = $66,250 F + $70,000 F = $136,250 F

Solution 3:

Budgeted overhead for actual production = 270000*$8 + 240000*$10 = $4,560,000

Actual overhead incurred = $2,350,000 + $2,200,000 = $4,550,000

Overhead applied = SH * SR = 270000*$18 = $4,860,000

Overhead controllable variance = Budgeted overhead - Actual overhead

= $4,560,000 - $4,550,000 = $10,000 F

Overhead volume variance = Overhead applied - Budgeted overhead

= $4,860,000 - $4,560,000 = $300,000 F