5-32 (30 min.) Plantwide versus department overhead cost rates. 1. Molding Manufacturing department overhead Service departments: Power Maintenance Total budgeted plantwide overhead $21,000 Amounts (in thousands) Component Assembly $16,200 $22,600 Budgeted direct manufacturing labor-hours (DMLH): Molding Component Assembly Total budgeted DMLH Plantwide overhead rate = = 2. Total $59,800 18,400 4,000 $82,200 500 2,000 1,500 4,000 Budgeted plantwide overheard Budgeted DMLH $82,200 = $20.55 per DMLH 4,000 The department overhead cost rates are shown in Solution Exhibit 5-32 3. MumsDay Corporation should use department rates to allocate plant overhead because: (1) the cost drivers of resources used in each department differ and (2) the departments do not use resources from the support departments in the same proportion. Hence, department rates better capture cause-and-effect relationships at MumsDay than does a plantwide rate. 4. MumsDay should further subdivide the department cost pools into activity-cost pools if (a) significant costs are incurred on different activities within the department, (b) the different activities have different cost drivers, and (c) different products use different activities in different proportions. Budgeted Rate (Budgeted overhead ÷ Alloc. Base) 2 (b) Allocation Base Total budgeted overhead of manufacturing departments 2 (a) Departmental overhead costs Allocation of maintenance costs (direct method) $4,000 × 90/125, 25/125, 10/125 Allocation of power costs $18,400 × 360/800, 320/800, 120/800 2,760 SOLUTIO' EXHIBIT 5-32 $ 0 (18,400) $18,400 $ 0 2,880 (4,000) $36.75/MH 875 MH $32,160 8,280 $21,000 $4,000 1,500 DMLH $25,680 7,360 320 $22,600 Assembly $12.18/DMLH $17.12/DMLH 2,000 DMLH $24,360 800 $16,200 Departments (in thousands) Service Manufacturing Power Maintenance Molding Component 5-33 (40 min.) Activity-based costing, unused capacity. 1. Simple Costing System Number of units Direct manuf. labor hours (DMLH) per unit Cost per DMLH Basca 30,000 Thermo 15,000 2 2.5 60,000 37,500 $20 Total DMHL (30,000 × 2; 15,000 × 2.5) Total indirect costs to be allocated ($3,000,000 + $600,000 + $582,000 + $900,000 + $90,000 + $315,000 + $390,000) Indirect cost rate per DMLH ($5,877,000 ÷ 97,500 DMLH) Total 97,500 $5,877,000 $60.2769 Allocated indirect costs ($60.2769 × 60,000; 37,500) Direct material cost per unit Direct manuf. labor cost per unit ($20 per DMLH × 2 DMLH/unit; 2.5 DMLH/unit) Indirect cost per unit ($3,616,615 ÷ 30,000; $2,260,385 ÷ 15,000) Total cost per unit 5-3 $3,616,615 $2,260,385 $100.00 $150.00 40.00 50.00 120.55 150.69 $260.55 $350.69 ABC System Material handling hours Machine hours No. of shipments Cu. ft. of motors delivered DML hours Material handling (0.20 hours per load × 55 loads per batch × (30,000 ÷ 500) batches; 0.20 × 75 × (15,000 ÷ 100)) Manuf. operations (cost driver consumption given) Shipping (cost driver consumption given) Distribution (1 cu. ft. per motor × 30,000 motors; 1.5 × 15,000) Administration (see requirement 1) Total indirect costs Setup hours Cost Driver (2) No. of changed components Setups ((30,000 units ÷ 500 units per batch) × 10 hrs. per batch; (15,000 ÷ 100) × 16) Activity (1) Design (cost driver consumption given) 2. $5,877,000 390,000 315,000 90,000 3,000,000 582,000 600,000 Total cost of activity (given) (3) $ 900,000 5-4 60,000 30,000 120 45,000 660 600 37,500 22,500 180 30,000 2,250 2,400 Cost Driver Units Consumed during 2006 (see (1)) Basca Thermo (4) (5) 10 20 97,500 52,500 300 75,000 2,910 3,000 Total (6) = (4) + (5) 30 $4 $6 $300 $40 $200 $200 per direct manuf. labor hour per cubic foot per shipment per machine hour per materialhandling hour per setup hour Cost Allocation Rate for Activity (7) = (3) ÷ (6) $30,000 per changed component 30,000 Cost Description Direct Costs Direct materials ($100 × 30,000; $150 × 15,000) Direct manufacturing labor ($20/hr. × 60,000 hrs.; $20/hr. × 37,500 hrs.) Total direct costs Indirect Costs of Activities Design Basca, 10 parts-sq. ft. × 30,000 Thermo, 20 parts-sq. ft. × 30,000 Setup Basca, 600 setup hours × $200 Thermo, 2,400 setup-hours × $200 Materials handling Basca, 660 hrs. × $200 Thermo, 2,250 hrs. × $200 Manufacturing operations Basca, 45,000 machine-hour s × $40 Thermo, 30,000 machine-hours × $40 Shipping Basca, 120 shipments × 300 Thermo, 180 shipments × 300 Distribution Basca, 30,000 cubic feet delivered × $6 Thermo, 22,500 cubic feet delivered × $6 Administration Basca, 60,000 dir. manuf. labor-hours × $4 Thermo, 37,500 dir. manuf. labor-hours × $4 Total indirect costs allocated Total Costs Total (1) 15,000 Basca Units per Unit (2) = (1) ÷ 30,000 Thermo Units Total per Unit (4) = (3) ÷ 15,000 (3) Total (5) = (1) + (3) $3,000,000 $100.00 $2,250,000 $150.00 $ 5,250,000 1,200,000 4,200,000 40.00 140.00 750,000 3,000,000 50.00 200.00 1,950,000 7,200,000 300,000 10.00 600,000 40.00 480,000 32.00 450,000 30.00 1,200,000 80.00 54,000 3.60 135,000 9.00 150,000 3,069,000 $6,069,000 10.00 204.60 $404.60 4.00 120,000 132,000 4.40 1,800,000 60.00 36,000 1.20 180,000 240,000 _________ 2,808,000 $7,008,000 6.00 8.00 _______ 93.60 $233.60 900,000 600,000 582,000 3,000,000 90,000 315,000 390,000 5,877,000 $13,077,000 3. Cost per unit Simple system Activity-based Cost System Activity-based cost as % of original Basca $260.55 $233.60 90% Thermo $350.69 $404.60 115% The simple and activity-based costs per unit differ because the pattern of consumption of direct manufacturing labor-hours (the indirect cost driver in the simple system) is very different from the pattern of consumption of the six new cost drivers by Basca and Thermo products. In particular, using the new activity-based cost drivers, we see that Thermo consumes significantly more of design, setup, material handling and shipping resources. This is driven by the fact that Thermo has more change components, smaller batch sizes, larger number of components and a greater number of smaller-size shipments than Basca. In the ABC analysis Thermo is therefore more costly per unit than in the simple system. These differences are important to Bronco Electric because it can use the information to price the motors based on their consumption of resources, and also, it can use the activity-consumption information to reduce costs and to optimize its operations for maximum value-added from indirect resources. 5-5 4. Number of units Old cubic feet per motor New cubic feet per motor Basca 30,000 Thermo 15,000 1 1.5 0.9 1.2 Total $315,000 Distribution costs Distribution capacity in cu. ft.* (30,000 motors × 1 cu. ft. per motor; 15,000 × 1.5) 30,000 22,500 Distribution cost per cu. ft. ($315,000 ÷ 52,500) 52,500 $ Cu. ft. of distribution capacity used (30,000 motors × 0.9 cu. ft. per motor; 15,000 × 1.2) Cost of distribution resources consumed (27,000 cu. ft. × $6/cu. ft.; 18,000 × 6) Excess distribution capacity ($315,000 – $270,000) 6.00 27,000 18,000 45,000 $162,000 $108,000 $270,000 $ 45,000 * We are given that Bronco’s distribution system was operating at capacity at the old number of units and old cu. ft. per motor. 5. In the short run, Bronco can try to sell the excess distribution capacity of 7,500 (52,500 – 45,000) cu. ft. (costing $45,000) to other businesses. In the long run, Bronco should focus on reducing bulkiness of shipments as much as possible and minimizing or eliminating excess distribution capacity, to match the demand for distribution resources. 5-6
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