Accounting for Manufacturing Overhead 1.-3. JYD Corporation has two departments, Assembly and Finishing. The following are data available for two departments in 2021: Machine hours per unit Direct labor hours Budgeted (Estimated) Factory Overhead Budgeted machine hours Budgeted direct labor hours Assembly 10 hours 2 hours Finishing 5 hours 1 hour ₱325,000 ₱175,000 15,000 hours 3,000 hours 2,500 hours 2,000 hours Using plant-wide Factory Overhead rate based on direct labor hours, how much is the Factory Overhead rate per unit? Total factory overhead = 325,000 + 175,000 = ₱500,000 Total direct labor hours = 3,000 + 2,000 = 5,000 hours Factory overhead rate per direct labor hours = 500,000/5,000 = ₱100 per hour Total direct labor hours required per unit = 2 + 1 = 3 labor hours Factory overhead rate per unit = ₱100 * 3 Factory overhead rate per unit = ₱300 per unit Assume in the Assembly Department, machine hours are the basis in calculation the Factory overhead rate, what is the departmental Factory overhead rate per unit? Total assembly department factory overhead = 325,000 Total assembly department machine hours = 15,000 Assembly department factory overhead rate per machine hour = 325,000/15,000 = 21.6667 Factory overhead rate per unit = 21.6667*10 Factory overhead rate per unit = ₱216.67 Assume in the Finishing Department, direct labor hours are the basis in calculation the Factory overhead rate, what is the departmental Factory overhead rate per unit? Total finishing department factory overhead = ₱175,000 Total finishing department direct labor hours = 2,000 Finishing department factory overhead rate per direct labor hour = 175,000/2,000 = 87.50 Factory overhead rate per unit = 87.50*1 Factory overhead rate per unit = ₱87.50 4.-10. Peter Corporation makes shirts that it sells to retailers. The company uses a job-order costing system in which predetermined overhead rates are used to apply factory overhead costs to jobs. The predetermined rate in the Sewing Department is based on machine hours, and in the Cutting department is based on direct labor cost. The following estimates are made at the beginning of the year. Sewing Department Cutting Department Direct labor hours 24,000 120,000 Machine hours 140,000 10,000 Direct material cost 1,020,000 1,300,000 Direct labor cost 260,000 840,000 Factory overhead cost 1,204,000 1,470,000 Job 101 was started on February 1 and completed on February 25. The company's cost records show the following information concerning the job. Sewing Department Cutting Department Direct labor hours 60 170 Machine hours 220 40 Direct material cost 940 664 Direct labor cost 580 1,360 At the end of the year, the records of the company show the actual cost and data for all jobs worked during this year. Sewing Cutting Direct labor hours 20,000 124,000 Machine hours 130,000 18,000 Direct material cost 860,000 1,360,000 Direct labor cost 216,000 872,000 Factory overhead cost 1,140,000 1,500,000 Compute the factory overhead rate used in the Sewing Department during the year. Estimated Factory Overhead Cost 1,204,000 ÷ Estimated Machine Hours ÷ 140,000 Factory Overhead Rate ₱8.60/machine hour Compute the factory overhead rate used in the Cutting Department during the year. estimated Factory Overhead Cost 1,470,000 ÷ Estimated Direct Labor Cost ÷ 840,000 Factory Overhead Rate ₱1.75 of Direct Labor Cost Compute the total factory overhead cost applied to Job 101. Sewing department: 220 machine hours * 8.60/machine hour = 1,892 Cutting department: 1,360 Direct Labor Cost * 175% of Direct Labor = 2,380 Total Factory Overhead Applied to Job 101 = 4,272 What would be the total cost of Job 101? Sewing department: 940 direct materials + 580 direct labor + 1,892 factory overhead applied = 3,412 total cost Cutting department: 664 direct materials + 1,360 direct labor + 2,380 factory overhead applied = 4,404 total cost Total cost of Job 101 = 7,816 If Job 101 contained 100 units, what would be the unit cost? Job 101 Sewing Formula and Cutting Formula and Total Department Computation Department Computation Direct 940 664 1,604 Material Cost Direct Labor 580 1,364 1,940 Cost Predetermined Predetermined Factory Overhead Rate Overhead Rate Overhead 1,892 * Machine 2,380 * Direct Labor 4,272 Cost Hours = 8.6 * Cost = 1.75 * 220 1,360 Total Cost 3,412 4,404 7,816 Divided by Number of 100 Units Unit Cost 78.16 What would be the under or over-applied Factory overhead in the Sewing Department at the end of the year? Sewing Department Formula and Computation Predetermined Overhead Rate Applied Factory Overhead 1,118,000 * Machine Hours = 8.6 * Cost 130,000 Actual Factory Overhead Cost (1,140,000) Under-applied Factory 22,000 Overhead Cost What would be the under or over-applied Factory overhead in the Cutting Department at the end of the year? Cutting Department Formula and Computation Applied Factory Overhead Cost 1,526,000 Actual Factory Overhead Cost Over-applied Factory Overhead Cost (1,500,000) Predetermined Overhead Rate * Direct Labor Cost = 1.75 * 872,000 26,000 Note: Underapplied Overhead Cost = Applied Overhead Cost < Actual Overhead Cost Overapplied Overhead Cost = Applied Overhead Cost > Actual Overhead Cost 11-12. The following are the flexible budget of Coco Corporation in different levels of direct labor hours. Variable Factory Overhead Direct labor hours 20,000 | 30,000 | 40,000 40,000 | 60,000 | 80,000 Fixed Factory Overhead 10,000 | 10,000 | 10,000 Each product needs 5 direct labor hours and the company expects to produce 2,000 units in 2021. Calculate the total factory overhead rate per unit using direct labor hours as an allocation base. Variable overhead = 5 * 2000 * 2 = 20,000 Fixed overhead = 10,000 Total overhead = 30,000 Budgeted Direct Labor hours = 5 * 2000 = 10,000 Total overhead rate = total overhead /budgeted direct labor hours = 30,000 / 10,000 = ₱3 per DLH Calculate the total factory overhead rate per unit using units of production as an allocation base. Total overhead = 30,000 Budgeted number of units = 2,000 Overhead rate = total overhead / budgeted number of units = 30,000 / 2,000 = ₱15 per DLH 13.-17. Jose Corporation makes bottles using the latest automated technology. The company applies Factory Overhead cost to products on the basis of machine hours. The following are estimates used to determine the factory overhead rates at the start of the year. Machine Hours 150,000 Factory Overhead Cost 1,800,000 The company cost records show the following actual cost incurred for the year. Machine Hours 120,000 Factory Overhead Cost 1,700,000 Raw Materials 60,000 Work in Process (includes Factory Overhead 200,000 applied of ₱72,000) Finished Goods (includes Factory Overhead applied 1,000,000 of ₱360,000) Cost of Goods Sold (includes Factory Overhead 2,800,000 applied of ₱1,008,000) Compute the Factory Overhead rate. Factory overhead rate = Factory overhead cost/ Machine hours = 1,800,000/150,000 = ₱12 per machine hour Computer the under or over-applied Factory Overhead. Applied factory overhead = Actual machine hours * Factory overhead rate = 120,000 * 12 = 1,440,000 Under applied factory overhead = Actual factory overhead cost - Applied factory overhead cost = 1,700,000 – 1,440,000 = ₱260,000 Assume the variance is material, what is the adjustment of the Cost of Goods Sold? General Journal Debit Credit Cost of Goods Sold ₱260,000 Manufacturing overhead ₱260,000 Assume the variance is material, what is the variance share of the Finished Goods Inventory account? Variance share of the Finished Goods Inventory account = Under applied Factory Overhead x Factory Overhead applied to Finished Goods / Total Applied overhead = 260,000 x 360,000/1,440,000 = ₱65,000 Assume the variance is material, what is the variance share of the Work in Process account? Variance share of the Work in Process account = Under applied Factory Overhead x Factory Overhead applied to Work in Process / Total Applied overhead = 260000 x 72000/1440000 = ₱13,000 18.-21. Ethel Corporation has the following data for the year 2021: Estimated Factory Overhead ₱40,000 + (₱2 * Machine hour rate) Estimated machine hours 5,000 Assume that Ethel Corporation has worked on three jobs: 01; 02; and 03 last year. 1,500 machine hours were spent for Job 01; 2,000 machine hours for Job 02; and 1,700 machine hours for Job 03. The actual factory overhead is ₱56,000 using 5,200 machine hours. What is the predetermined Factory Overhead? Predetermined factory overhead = Estimated overhead cost/ estimated machine hours = [₱40,000 + (5,000 * ₱2 per machine hours)] / 5,000 machine hours = [₱40,000 + ₱10,000] / 5,000 machine hours = ₱50,000 / 5,000 hours = ₱10 What is the expected Factory Overhead for an actual level of activity of 5,200 machine hours? Estimated factory overhead = ₱40,000 + (₱2 x machine hours) = ₱40,000 + (₱2 x 5,200 hours) = ₱40,000 + ₱10,400 = ₱50,400 What is the Factory Overhead applied to Job 03? Applied Factory overhead = Predetermined factory overhead x actual machine hours used in Job 03 = ₱10 * 1,700 machine hours = ₱17,000 What is the total under or over-applied Factory Overhead? Total under or overapplied factory overhead = Actual factory overhead - Expected factory overhead = ₱56,000 - ₱50,400 = ₱5,600 underapplied 22.-24. Senen Corporation has two service departments (Maintenance Department and Security Department) and two producing departments (Assembly Department and Finishing Department). The following are the percentage usage of each department. Departments Use of Maintenance Department Use of Security Department Maintenance 5% Security 10% Assembly 60% 40% Finishing 30% 55% The Maintenance Department cost is ₱900,000 and the Security Department cost is ₱500,000. Compute the service cost allocated to Security Department using the direct method. Service Departments Maintenance Security ₱900,000 ₱500,000 Producing Departments Assembly Finishing Total Departmental cost before allocation ₱1,400,000 Allocation: Maintenance department cost (60/90: 30/90) (₱900,000) ₱600,000 ₱300,000 Security department cost (40/95: 55/95) (₱500,000) ₱210,526 ₱289,474 Total Costs ₱810,526 ₱589,474 ₱1,400,000 0 Compute the service cost allocated to Maintenance Department using the step-down/sequential method. Departmental cost before allocation Allocation: Maintenance department cost (10%: 60%: 30%) Security department cost (40/95: 55/95) Total Costs Service Departments Producing Departments Total Maintenance Security Assembly Finishing ₱900,000 ₱500,000 ₱1,400,000 (₱900,000) - 90,000 540,000 270,000 - (₱590,000) ₱248,421 ₱341,579 ₱788,421 ₱611,579 ₱1,400,000 0 Compute the service cost allocated to Security Department using the reciprocal method Let M = maintenance Let S = security M=900,000+0.05S S=500,000+0.10M M=900,000+0.05S M=900,000+0.05(500,000+0.10M) (the equation of S is substituted) M=900,000+25,000+0.005M (the 0.05 is distributed) {500,000 * 0.05 = 25,000; 0.05 * 0.10M = 0.005M} 1M−0.005M=925,000 (the 0.005M is transposed to the left side to isolate the variable M.) 0.995M=925,000 M=929,648 (rounded) S=500,000+0.10M S=500,000+0.10(929,648) S=500,000+92,965 S=592,965 (rounded) The question is, how much is the cost allocated to the security department? Therefore, it is 10% of the total maintenance department costs. 929,648∗10%=92,965 (rounded) 25.-26. JYD Manufacturing Company has two production departments (Fabrication and Assembly) and three services departments (General Factory Administration, Factory Maintenance, and Factory Cafeteria). A summary of the year's overhead cost and other data for each department prior to allocation of service department costs appear below: Fabrication Overhead Costs Assembly ₱6,730,000 ₱4,850,000 General Factory Administration Factory Maintenance Factory Cafeteria ₱160,000 ₱203,200 ₱240,000 Direct Labor Costs 562,500 437,500 31,000 27,000 42,000 Number of Employees 280 200 12 8 20 Square Footage Occupied 88,000 72,000 1,750 2,000 4,800 The costs of the General Factory Administration, Factory Maintenance, and Factory Cafeteria are allocated on the basis of direct labor hours, square footage occupied, and the number of employees respectively. It is the company's policy that the order of distribution is based on the highest dollar amount of costs originating in the service departments and the direct method is used. What is the total overhead cost allocated to the Fabrication Department? Total Overhead Cost Allocation (Fabrication) = Cost Allocated from General Factory + Cost Allocated from Factory Maintenance + Cost Allocated from Factory Cafeteria = ₱90,000 + ₱111,760 + ₱140,000 = ₱341,760 Assuming Assembly Department uses direct labor hours, what is the Factory Overhead rate of the Assembly Department? Total Overhead Cost (Assembly) = Overhead Cost of Assembly + Cost Allocated from General Factory + Cost Allocated from Factory Maintenance + Cost Allocated from Factory Cafeteria = ₱4,850,000 + ₱70,000 + ₱91,440 + ₱100,000 = ₱5,111,440 Factory Overhead Rate (Assembly) = Total Overhead Cost (Assembly) / Direct Labor Hours = ₱5,111,440 / 437,500 hours = ₱11,68 per hour 27.-31. Bambina Corporation, a manufacturer of beauty products has the following partially completed manufacturing cost data for its production. The relevant range of production is 800,000 to 1,200,000 per year. Units produced 800,000 960,000 1,200,000 Total production costs ? ? ? Total variable costs 320,000 ? ? Total fixed costs 480,000 ? ? Total costs 800,000 ? ? Variable cost per unit ? ? ? Fixed cost per unit ? ? ? Total cost per unit ? ? ? What are the total production costs for the 960,000 units produced? 864,000 What are the total production costs for the 1,200,000 units produced? 960,000 What is the total cost per unit for the 800,000 units produced? 1 What is the total cost per unit for the 960,000 units produced? 0.90 What is the total cost per unit for the 1,200,000 units produced? 0.80 Units produced 800,000 960,000 1,200,000 Total production costs (Total variable cost + total fixed cost) = 320,000 + 480,000 = 800,000 = 384,000 + 480,000 = 864,000 = 480,000 + 480,000 = 960,000 Total variable costs (Variable cost per unit * units produced) 320,000 = 0.40 * 960,000 = 384,000 = 0.40 * 1,200,000 = 480,000 Total fixed costs (remain fixed in every activity level) 480,000 480,000 480,000 Total costs (Total variable cost + total fixed cost) 800,000 = 384,000 + 480,000 = 864,000 = 480,000 + 480,000 = 960,000 Variable cost per unit (Total variable cost / Units produced) (remain fixed in every activity level) = 320,000 / 800,000 = 0.40 0.40 0.40 Fixed cost per unit (Total fixed cost / Units produced) = 480,000 / 800,000 = 0.60 = 480,000 / 960,000 = 0.50 = 480,000 / 1,200,000 = 0.40 Total cost per unit (Total costs/units produced) = 800,000 / 800,000 = 1 = 864,000 / 960,000 = 0.90 = 960,000 / 1,200,000 = 0.80 Units produced 800,000 960,000 1,200,000 Total production costs (here we assume that all the fixed and variable costs are related to production) 800,000 864,000 960,000 Total variable costs 320,000 384,000 480,000 Total fixed costs 480,000 480,000 480,000 Total costs 800,000 864,000 960,000 Variable cost per unit 0.40 0.40 0.40 Fixed cost per unit 0.60 0.50 0.40 Total cost per unit 1 0.90 0.80 32.-35. Nas Corporation's managers in the stamping department have been studying the overhead cost and the relationship with machine hours. The following are data from the most recent 12 months. Month Overhead Machine hours January 5,030 2,730 February 1,600 600 March 7,210 3,403 April 4,560 2,200 May 6,880 3,411 June 6,520 2,586 July 6,230 3,364 August 5,570 2,411 September 7,728 3,960 October 5,810 2,897 November 4,580 2,207 December 6,010 2,864 The manager of the department has requested a regression analysis of these two variables. The staff person performing the analysis decided to exclude February. She observed the volume of activity was very low for that month because of two factors: a severe flue outbreak and an electrical fire that disrupted operations for about 10 working days. Using the high-low point method, compute the fixed cost. Using the high-low point method, how much are the estimated overhead costs for 3,000 machine hours? Using the least square (regression) analysis, compute the fixed cost. Using the least square (regression) analysis, how much are the estimated overheads for 3,000 machine hours?