Management Accounting in Australia - Solutions Chapter 8 Responsibility Accounting Chapter Review Solutions 1 F V Actual 220,500 170,940 $391,440 Flexible Budget Fixed 216,000 Variable 21,000 x $8.10 170,100 $386,100 $ 5,340 Unfavourable Overhead Spending Variance Applied 21,000 x $18.90 396,900 $ 10,800 Favourable Overhead Capacity Variance $5,460 Over applied Total Variance 2. (a) Variable Overhead Fixed Overhead Actual F 72,000 V 160,200 $232,200 = = 180,000 200,000 = 70,000 200,000 = $0.90 $0.35 $1.25 Flexible Budget Fixed 70,000 Variable 180,000 x $0.90 162,000 $232,000 $ 200 UnF Spending Variance Applied 180,000 x $1.25 225,000 $ 7,000 UF Capacity Variance $ 7,200 Underapplied Total Variance 114 Chapter 8 Responsibility Accounting Normal capacity 3. (a) 50,000 maintenance labour hours The predetermined overhead rate: Total Overhead Recovery Rate = Total Budgeted Overhead Budgeted Level of Activity Variable Overhead Recovery Rate Fixed Overhead Recovery Rate (b) = [ $50,000 + ( $2 x 50,000 ) ] / 50,000 $ 3.00 per maintenance labour hour = Total Budgeted Variable Overhead Budgeted Level of Activity = = $ 100,000 / 50,000 $ 2.00 per hour = Total Budgeted Fixed Overhead Budgeted Level of Activity = = Amount of Under/Overapplied Overhead: $ 50,000 / 50,000 $ 1.00 per hour Actual Overhead Incurred = Applied Overhead = $ 3.00 x 54,000 = Overapplied Overhead = $ 161,000 $ 162,000 $ 1,000 The overapplied overhead of $1,000 is a favourable variance which may be further broken down into 2 separate variances titled: • • Spending Variance Capacity Variance using the following schedule. Actual Factory Overhead Incurred $161,000 Flexible Budget based on Actual hours worked Actual Hours Worked x Total Overhead rate per hour Variable = 54,000 x $2.00 = $108,000 Fixed = $ 50,000 54,000 x $ 3.00 $158,000 Overhead Spending Variance $3,000 U Overhead Capacity Variance $4,000 F Under/Over Applied Overhead = $1,000 F 115 $162,000 Management Accounting in Australia - Solutions 4. (a) Budgeted direct labour hours Labour hours per unit Budgeted production = = = 140,000 2 70,000 units (b) Indirect cost recovery rate = Total budgeted indirect costs Budgeted level of activity ( 2 x 70,000 ) + ( 4 x 70,000 ) 70,000 $6 per unit = = (c) Amount of Under / Over Applied Overhead : Actual overhead incurred $370,000 Applied overhead 6 x 60,000 $360,000 Underapplied overhead $ 10,000 (d) Actual Factory Overhead Incurred Flexible Budget based on Actual hours worked Variable Fixed = = 370,000 Actual Hours Worked x Total Overhead rate per hour 120,000 x 3 $ 240,000 $ 140,000 $380,000 Overhead Spending Variance 10,000 F 360,000 Overhead Capacity Variance 20,000 U Under/Over Applied Overhead = 10,000 U 5. High Analysis: Low High Low Variable Rate = $3.00 per unit ($48,000/16,000) Fixed Cost Total Cost - Variable Cost (production) $220,000 - $3 (40,000) $100,000 = = = $ 268,000 40,000 16,000 220,000 48,000 Flexible Budget Based on Actual Hours Actual Fixed Variable Units 56,000 $101,000 152,000 $253,000 Fixed Variable $100,000 $150,000 $250,000 $3,000 Unfavourable Overhead Spending Variance 116 (50,000 x $3.00) Chapter 8 Responsibility Accounting 6. Application Rate: Total Budgeted Overhead Per Unit = Budgeted Factory Overhead Budgeted Machine Hours = Variable Rate = $ 480,000 = $ 1.20 Per Mach Hr. 400,000 Mach Hrs. Budgeted Variable Overhead Budgeted Direct Labour Hours Actual = $300,000 400,000 Mach Hs. Flexible Budget based on Actual Hours Fixed Variable $442,000 $180,000 $285,000 $465,000 $23,000 favourable Overhead Spending Variance =$0.75 P/ M.Hr. Actual Hours x Standard Budgeted Rate 380,000 x $ 1.20 (380,000 x $ 0.75 ) $456,000 $9,000 unfavourable Overhead Capacity Variance $14,000 Overapplied 7. Application Rate: Total Budgeted Overhead Per Unit = Budgeted Factory Overhead Budgeted Direct Labour Hours = $ 81,000 = $ 2.70 Per D.L.H. 30,000 D.L.H. Variable Rate: = $ 1.80 ( 2/3 x $ 2.70 ) Budgeted Fixed Cost = $ 27,000 ( 1/3 x $ 81,000 ) Actual Flexible Budget based on Actual Hours Fixed Variable $27,000 $48,600 $75,600 $79,000 $3,400 unfavourable Overhead Spending Variance Actual Hours x Standard Budgeted Rate 27,000 x $ 2.70 ( 27,000 x $ 1.80 ) $72,900 $2,700 unfavourable Overhead Capacity Variance $6,100 Underapplied 117 Management Accounting in Australia - Solutions 8. Plant - wide recovery rate 66.67 % of D.L.C. ( $ 80,000 / $ 120,000 ) Departmental recovery rate X Y Z (a) 25.00 % of D.L.C. ( $ 10,000 / $ 40,000 ) 200 % of D.L.C. ( $ 40,000 / $ 20,000 ) 50.00 % of D.L.H. ( $ 30,000 / $ 60,000 ) i Job 36 R.M.C. $ 1,500 L.C. 630 F.O.A. 420 ( $ 630 D.L.C. x $0.6667 ) $ 2,550 ii Job 36 R.M.C. $ 1,500 L.C. 630 F.O.A. 550 ( $200 x $0.25 + $190 x $2.00 + $240 x $0.50 ) $ 2,680 ( b ) Application Rate: Total Budgeted Overhead Per Unit = Budgeted Factory Overhead Budgeted Direct Labour Hours = Variable Rate: = $ 36,000 60,000 D.L.H. Budgeted Variable Overhead Budgeted Direct Labour Hours Actual = Flexible Budget based on Actual Hours Fixed Variable $33,800 $6,000 $27,000 $33,000 $800 unfavourable Overhead Spending Variance = $ 0.60 Per D.L.H. $ 30,000 = $ 0.50 Per D.L.H. 60,000 D.L.H. Actual Hours x Total Overhead Rate per hour 54,000 x $ 0.60 (54,000 x $ 0.50 ) $32,400 $600 unfavourable Overhead Capacity Variance $1,400 Underapplied 118 Chapter 8 Responsibility Accounting 9. Variable Cost Fixed Cost Total Cost Variable Rate = $ 0.70 per unit Actual Fixed Variable $ 126,400 $ 50,200 $ 176,600 Normal Capacity 80,000 Mach Hrs $ 56,000 128,000 $ 184,000 Expected Capacity 64,000 Mach hrs $ 44,800 128,000 $ 172,800 $ 2.30 $ 2.70 ( $ 44,800 / 64,000 units ) Flexible Budget based on Actual Mach. Hours Fixed Variable $ 128,000 $ 50,400 $ 178,400 $1,800 favourable Overhead Spending Variance Actual Hours x Standard Budgeted Rate 72,000 x $ 2.30 (72,000 x $ 0.70) $ 165,600 $12,800 unfavourable Overhead Capacity Variance $11,000 Underapplied Actual Fixed Variable $ 126,400 $ 50,200 $ 176,600 Flexible Budget based on Actual Mach. Hours Fixed Variable $ 128,000 $ 50,400 $ 178,400 $1,800 favourable Overhead Spending Variance Actual Hours x Standard Budgeted Rate 72,000 x $ 2.70 ( 72,000 x $ 0.70 ) $ 194,400 $16,000 favourable Overhead Capacity Variance $17,800 Overapplied 119 Management Accounting in Australia - Solutions 10. (a) Predetermined overhead rate = $350,000 20,000 = $17.50 per DLH GENERAL JOURNAL May 31 Work in Process Factory Overhead Control/Applied 29,750 29,750 Overhead applied $17.50 x 1,700 DLH (b) Actual O/h Flexible Budget @19,500 DLH Applied O/h F $202,490 F: $200,000 $17.50x19,500 V 145-080 $347,570 *V: 146,250 $346,250 $341,250 Spending Variance $1,320 unfavourable * Variable flexible budget = 11. (a) Capacity Variance $5,000 unfavourable $150,000 20,000 x 19,500 DLH Predetermined overhead rate = 69,000 6,000 = $11.50 per DLHr (b) Total factory overhead applied $11.50 x 6,100 $ 70,150 (c) Actual Flexible Budget Fixed Variable $5.00 x 6,100 units $72,000 $ 2,500 Unfavourable Overhead Spending Variance 39,000 30,500 $69,500 70,150 $ 650 Favourable Overhead Capacity Variance $ 1,850 Under applied Total Variance 120 Applied 6,100 x $11.50 Chapter 8 Responsibility Accounting 12. (a) Predetermined overhead rate = 183,000 30,000 = (b) Total factory overhead applied $ 6.10 x 29,000 $ 6.10 per unit $176,900 (c) Actual Flexible Budget Fixed Variable $2.80 x 29,000 units $175,000 $ 5,200 Favourable Overhead Spending Variance 99,000 81,200 $180,200 Applied 29,000 x $ 6.10 176,900 $ 3,300 Unfavourable Overhead Capacity Variance $ 1,900 Over applied Total Variance 13. (a) Predetermined overhead rate = 72,000 15,000 = (b) Total factory overhead incurred Total factory overhead applied $4.80 x 13,500 Under Applied factory overhead $4.80 per unit $ 70,300 64,800 5,500 (c) F V Actual 45,200 27,800 $70,300 Flexible Budget Fixed 45,000 Variable 27,000/15,000 x 13,500 units 24,300 $69,300 $ 1,000 Unfavourable Overhead Spending Variance 64,800 $ 4,500 unfavourable Overhead Capacity Variance $5,500 Under applied Total Variance 121 Applied 13,500 x $4.80
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