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Answer Chapter 8 Standard Costing & Variance Analysis

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CHAPTER 8 STANDARD COSTING & VARIANCE ANALYIS

Exercise 1

1. Determine the material purchase price and quantity variances. Material price variance:

100,000 × P2.50 = P250,000 100,000 × P2.60 = 260,000

P 10,000 F Material quantity variance:

95,625 × P2.60 = P248,625 89,250 × P2.60 = 232,050

P 16,575 U 2. Determine the labor rate and efficiency variances.

Labor rate variance:

122,400 × P8.35 = P1,022,040 122,400 × P8.50 = 1,040,400

P 18,360 F Labor efficiency variance:

122,400 × P8.50 = P1,040,400 127,500 × P8.50 = 1,083,750

P 43,350 F Exercise 2

1. Two variance method

Actual (P6,400 + P17,500) P23,900 Budget Variance: P240 U BFOH (8,900 × P1.90) P16,910 VOH (1,800 × 5 × P.75) 6,750 P23,660 Volume Variance: P190 F Applied OH: (1,800 × 5 × P2.65) P23,850

2. Three variance method

Actual P23,900

Spending Variance: P315 U

Flexible Budget Based on Actual Input BFOH P16,910

VOH (8,900 × P.75) 6,675 P23,585

Efficiency Variance: P75 F

Flexible Budget Based on Standard DLHs BFOH P16,910

VOH (1,800 × 5 × P.75) 6,750 P23,660

Volume Variance: P190 F

Applied OH:

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3. Four variance method

Actual VOH P6,400

Variable Spending Variance: P275 F

Flex. Bud. Based on Actual

Input Hours (8,900 × P.75) P6,675

Variable Efficiency Variance: P75 F

Applied VOH

(1,800 × 5 × P.75) P6,750

Actual FOH P17,500

FOH Spending Variance: P590 U

BUDGETED FOH P16,910

FOH Volume Variance: P190 F

Applied FOH

(1,800 × 5 × P1.90) P17,100

Exercise 3

a. actual material cost P314,000

actual pieces at standard cost (80,000 × P4) 320,000

material purchase price variance P 6,000 F

b. 3,900 units × 20 pieces per unit = 78,000 standard quantity allowed c. total standard cost of material (78,000 × P4) P312,000

d. standard cost of actual material used

P312,000 + P6,400 U quantity variance P318,400

P318,400  P4 = 79,600 actual pieces used

e. actual labor cost P40,120

5,900 actual direct labor hours × P6 35,400

labor rate variance P 4,720 U

f. 3,900 units × 1.5 standard hours per unit 5,850 SHA

g. 5,850 Std Hours Allowed × P6 P35,100

h. actual hours × standard rate (from e) P35,400

standard cost of labor allowed (from g) 35,100

labor efficiency variance P 300 U

i. actual machine hours × standard VOH rate (18,900 × P2.50) P47,250

VOH spending variance 50 U

actual VOH P47,300

j. 3,900 units × 4.8 standard hours per unit = 18,720 MH allowed k. standard hours allowed (from j) × standard VOH rate

(18,720 × P2.50) P46,800

actual machine hours × standard rate (from i)

(18,900 × P2.50) 47,250

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l. 19,000 machine hours × P3 P57,000 m. 3,900 units × 4.8 hours per unit × P3.00 P56,160

n. actual fixed overhead P60,000

budgeted fixed overhead (from l) 57,000

fixed overhead spending variance P 3,000 U

o. budgeted fixed overhead (from l) P57,000

applied fixed overhead (from m) 56,160

volume variance P 840 U

p. total actual overhead P107,300

[P60,000 + P47,300 (from i)]

total applied overhead (18,720 SHA × P5.50) 102,960

Total overhead variance P 4,340 U

Exercise 4

a. Total direct material cost variance.

= Actual direct material cost – Standard direct material cost

= (1,900 lbs x P41) – (8,000 x 0.25 x P40) ; = P77,900 - P80,000 ; = P2,100 favorable b. Direct material price variance.

= (AP – SP) x AQ ; = (P41 - P40) x 1,900 lbs = P1,900 unfavorable c. Direct material quantity variance.

= (AQ – SQ) x SP; = [1,900 lbs - (8,000 x 0.25)] x P40 = P4,000 favorable d. Total direct labor cost variance.

= Actual direct labor cost – Standard direct labor cost

= (250 x P18.25) – (8,000 x 0.03 x P18) ; = P4,562.50 - P4,320.00 = P242.50 unfavorable e. Direct labor rate variance.

= (AR – SR) x AH ; = (P18.25 - P18.00) x 250 = P62.50 unfavorable f. Direct labor efficiency variance.

= (AH – SH) x SR ; = [250 - (8,000 x 0.03)] x P18 = P180.00 unfavorable

Exercise 5

a. Master Flexible Actual

Budget Budget Results

Sales volume (in units) 30,000 25,000 25,000

Sales revenues P3,600,000 P3,000,000 P3,000,000

Flexible (variable) costs 2,160,000 P1,800,000 1,930,000

Contribution margin 1,440,000 P1,200,000 1,070,000

Capacity-related (fixed) costs 900,000 P 900,000 970,000

Operating profit P 540,000 P 300,000 P 100,000

b. Determine the flexible (variable) cost variance.

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c. Determine the flexible (variable) planning variance.

= Flexible budget cost – Master budget cost ; = P1,800,000 – P2,160,000 = P360,000 less than planned d. As these results suggest, the manager should not be congratulated for keeping costs under control. Flexible (variable) costs were P130,000 over budget for actual output and capacity-related (fixed) costs were also P70,000 over budget. These variances from the flexible budget highlight the amounts that are different than planned. Since variances simply signal a deviation from what was planned, these differences need to be investigated before corrective actions can be taken.

Exercise 6

MATERIAL QUANTITY VARIANCE

A (181,000 – 172,200) × P0.06 = P 528 UNF B (33,000 – 28,700) × P0.12 = 516 UNF C (6,000 – 4,100) × P0.25 = 475 UNF

P1,519

Act Q x Act Mix x Std P Act Q x Std Mix x Std P Act Q x Std Mix x Std P

A 181,000 × P0.06 = P10,860 184,800 × P0.06 = P11,076 172,200 × P0.06 = P10,332 B 33,000 × P0.12 = 3,960 30,800 × P0.12 = 3,696 28,700 × P0.12 = 3,444 C 6,000 × P0.25 = 1,500 4,400 × P0.25 = 1,100 4,100 × P0.25 = 1,025

P16,320 P15,872 P14,801

MIX VARIANCE = P 436 UNF YIELD VARIANCE = P1,083 UNF

Total P1,519 UNF

Exercise 7

(AH x AM X SR) x (AH x SM x SR ) x (SH x SM x SR ) MIX VARIANCE YIELD VARIANCE

A 5,400 × P4 = P21,600 6,000 × P4 = P24,000 5,880 × P4 = P23,520 B 3,200 × P6 = 19,200 3,000 × P6 = 18,000 2,940 × P6 = 17,640 C 1,300 × P8 = 10,400 1,000 × P8 = 8,000 980 × P8 = 7,840

D 100 × P10 = 1,000 P50,000 P49,000

P52,200 MIX VARIANCE = P2,200 UNF YIELD VARIANCE = P1,000 UNF

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Exercise 8

TOTAL COST EQUATION = P80,000 FIXED + P20,000 / 10,000 = P2 variable per dlh a. 120% = P80,000 + (12,000 × P2) = P104,000

100% = P80,000 + (10,000 × P2) = P100,000 80% = P80,000 + ( 8,000 × P2) = P 96,000 60% = P80,000 + ( 6,000 × P2) = P 92,000

APPLICATION RATE = P100,000 / 10,000 dlh = P10 per dlh

Volume variance = fixed oh rate x difference in normal or planned and actual units produced. P80,000 / 10,000 = P8 per dlh

. 120% = (12,000 – 10,000 = 2,000 × P8) = P16,000 100% = (10,000 – 10,000 = 0 × P8) = P0

80% = ( 8,000 – 10,000 = -2,000 × P8) = - P 16,000 60% =( 6,000 – 10,000 = - 4,000 × P8) = - P 32,000 b. BUDGET VARIANCE = ACTUAL FOH – BUDGETED FOH

P9,000 FAV = P87,000 – P96,000

Exercise 9

1. Applied rate = P6/dlh

Total Overhead Cost = P50,000 + P1/dlh Std Overhead (A) 5,000 × 2 = 10,000 (B) 5,000 × 4 = 20,000 Std Hrs. 5,000 × 2 = 10,000 2. a. 1. (P7.20 – P7.00) × 12,000 = P2,400 U 2. (P3.90 – P4.00) × 20,000 = 2,000 F P 400 U b. 1. (10,500 – 10,000) × P7.00 = P3,500 U 2. (19,800 – 20,000) × P4.00 = 800 F P2,700 U c. P79,380 – (9,800 × P8) = P980 U d. (9,800 – 10,000) × P8 = P1600 F e. (10,000 – 10,000) × P5 = 0 f. (9,800 – 10,000) × P1 = P200 F g. Fix Spd P48,100 – P50,000 = P1,900 F Var Spd P21,000 – (9,800 × P1) = P11,200 U

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Exercise 10 STD Q A 120,000 × 3 = 360 1,000 B 120 × 6 = 720 C 120 × 9 = 1,080 ACT HRS ACT HRS STD HRS

ACT MIX STD MIX STD MIX

STD P STD P STD P

MIX VARIANCE YIELD VARIANCE

A 390 × P4.50 = P1,755 390 × P4.50 = P1,755 360 × P4.50 = P1,620 B 980 × P4.00 = P3,920 780 × P4.00 = P3,120 720 × P4.00 = P2,880 C 970 × P3.00 = P2,910 1,170 × P3.00 = P3,510 1,080 × P3.00 = P3,240

P8,585 P8,385 P7,740

P200 UNF P645 UNF Test I MULTIPLE CHOICE

1 D 13 C 25 C 37 A 2 B 14 A 26 B 38 B 3 D 15 B 27 A 39 A 4 A 16 B 28 C 40 A 5 D 17 C 29 B 41 B 6 C 18 C 30 A 42 D 7 B 19 A 31 D 8 A 20 B 32 A 9 C 21 A 33 C 10 C 22 D 34 A 11 B 23 B 35 B 12 A 24 C 36 A

Test II MULTIPLE CHOICE

1 A 13 D 25 B 2 D 14 B 26 D 3 C 15 C 27 D 4 D 16 D 28 B 5 D 17 D 29 D 6 D 18 C 30 D 7 A 19 B 31 C 8 B 20 C 9 A 21 B 10 C 22 D 11 C 23 C 12 D 24 A

References

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