Chapter 13B – Standard Costs Exercises Exercise 18 Direct labor ...................................................... $21.00 × 2 hrs. Direct materials ............................................... $9.25 × 20 bd. ft. Variable factory overhead .............................. $3.80 × 2 hrs. Fixed factory overhead ................................... $4.25 × 2 hrs. Total cost per unit ...................................... $ 42.00 185.00 7.60 8.50 $ 243.10 Exercise 21 Standard direct materials for units produced (5,900 units × 2 lbs.) ....... 11,800 lbs. Using the equation for direct materials quantity variance, solve for the standard direct materials price per pound. Direct Materials Quantity Variance = (Actual Quantity – Standard Quantity) × Standard Price $410 = (12,000 lbs. – 11,800 lbs.) × Standard Price $410 = 200 lbs. × Standard Price Standard Price = $2.05 per pound Standard Price per Unit of Product = $2.05 × 2 lbs. per unit = $4.10 Alternate Solution One: Materials used ................................................................. Favorable price variance ................................................ Favorable price variance per lb. ($3,000 ÷ 12,000 lbs.) Unit price of direct materials.......................................... Plus price variance (favorable) per lb. ......................... Standard price per lb. .................................................... Pounds per unit of product ............................................ Standard direct materials cost per unit of product ...... 12,000 lbs. $3,000 $0.25 $2.30 0.25 $2.05 × 2 $4.10 Alternate Solution Two: Product finished ................................................................... Standard finished product for direct materials used (12,000 lbs. ÷ 2 lbs.) ........................................................ Deficiency of finished product for materials used ....... Standard cost for direct materials: Quantity variance divided by deficiency of product for materials used ($410 ÷ 100 units) ....................... 5,900 units 6,000 (100) units $4.10 Exercise 22 a. Standard Quantity Whole tomatoes............... Vinegar ............................. Corn syrup ....................... Salt.................................... 7,500 600 50 500 × Standard Price = Standard Cost per Batch $0.40 1.75 8.00 0.70 Pounds per batch $3,000 1,050 400 350 $4,800 ÷6,000 lbs. $ 0.80 per lb. b. Actual Standard Quantity Quantity for Batch per H3001 Batch Materials Quantity Standard Quantity Difference × Price = Variance Tomatoes ......... 7,850 7,500 350 $0.40 Vinegar ............. 575 600 –25 1.75 Corn syrup ....... 63 50 13 8.00 Salt.................... 480 500 –20 0.70 Direct materials quantity variance .................................................... $ 140.00 – 43.75 104.00 – 14.00 $186.25 U F U F Chapter 13B – Standard Costs Problems Problem 4 a. Standard Materials and Labor Cost per Faucet Direct materials ($1.25 × 0.80 lb.) ............................................ Direct labor [$18.00 × (12 min. ÷ 60 min.)] .............................. $1.00 3.60 $4.60 b. Direct Materials Cost Variance Price variance: Direct Materials Price Variance = (Actual Price – Standard Price) × Actual Quantity = ($1.40 per lb. – $1.25 per lb.) × 10,200 lbs. = $1,530 Unfavorable Variance Quantity variance: Direct Materials Quantity Variance = (Actual Quantity – Standard Quantity) × Standard Price = (10,200 lbs. – 9,600 lbs.*) × $1.25 per lb. = $750 Unfavorable Variance *12,000 units × 0.80 lb. Total direct materials cost variance: Direct Materials Cost Variance = Direct Materials Price Variance + Direct Materials Quantity Variance = $1,530 + $750 = $2,280 Unfavorable Variance Also computed as: Actual total direct materials cost (10,200 lbs. × $1.40) .................. Less standard total direct materials cost (9,600 lbs. × $1.25) ....... $ 14,280 12,000 Total direct materials unfavorable cost variance ........................ $ 2,280 Problem 4, Concluded c. Direct Labor Cost Variance Rate variance: Direct Labor Rate Variance = (Actual Rate per Hour – Standard Rate per Hour) × Actual Hours = ($18.75 – $18.00) × 2,160 hrs.* = $1,620 Unfavorable Variance *60 employees × 36 hrs. = 2,160 hrs. Time variance: Direct Labor Time Variance = (Actual Direct Labor Hours – Standard Direct Labor Hours) × Standard Rate per Hour = (2,160 hrs.* – 2,400 hrs.**) × $18.00 per hr. = – $4,320 Favorable Variance *60 employees × 36 hrs. = 2,160 hrs. **12,000 units × 0.20 hr. = 2,400 hrs. Total direct labor cost variance: Direct Labor Cost Variance = Direct Labor Rate Variance + Direct Labor Time Variance = $1,620 – $4,320 = – $2,700 Favorable Variance Also computed as: Actual total direct labor cost (2,160 hrs. × $18.75)......................... Less standard total direct labor cost (2,400 hrs. × $18.00) ........... Total direct labor favorable cost variance ................................... $ –$ 40,500 43,200 2,700