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Problem 7-16 Comparing Traditional and Activity-Based Product Margins [LO7-1, LO

ID: 2556815 • Letter: P

Question

Problem 7-16 Comparing Traditional and Activity-Based Product Margins [LO7-1, LO7-3, LO7-4, LO7-5]

Hi-Tek Manufacturing, Inc., makes two types of industrial component parts—the B300 and the T500. An absorption costing income statement for the most recent period is shown:

Hi-Tek produced and sold 60,200 units of B300 at a price of $21 per unit and 12,600 units of T500 at a price of $39 per unit. The company’s traditional cost system allocates manufacturing overhead to products using a plantwide overhead rate and direct labor dollars as the allocation base. Additional information relating to the company’s two product lines is shown below:

The company has created an activity-based costing system to evaluate the profitability of its products. Hi-Tek’s ABC implementation team concluded that $53,000 and $102,000 of the company’s advertising expenses could be directly traced to B300 and T500, respectively. The remainder of the selling and administrative expenses was organization-sustaining in nature. The ABC team also distributed the company’s manufacturing overhead to four activities as shown below:

Required:

1. Compute the product margins for the B300 and T500 under the company’s traditional costing system.

2. Compute the product margins for B300 and T500 under the activity-based costing system.

3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.

Hi-Tek Manufacturing Inc.
Income Statement Sales $ 1,755,600 Cost of goods sold 1,248,706 Gross margin 506,894 Selling and administrative expenses 590,000 Net operating loss $ (83,106 )

Explanation / Answer

Answer 1. Calculation of Product Margin Under Traditional Costing System B300 T500 Total Sales in Units              60,200                 12,600 SP per Unit                       21                         39 Sales in $        1,264,200               491,400        1,755,600 Less: Costs Direct Materials            400,200               162,300            562,500 Direct Labor            120,900                 42,600            163,500 Manufacturing Overhead            386,515               136,191            522,706 Total Maufacturing Cost            907,615               341,091        1,248,706 Product Margin            356,585               150,309            506,894 Predetermined Overhead Rate = $522,706 (Total MOH) / $163,500 (Total Direct Labour $) Predetermined Overhead Rate = 319.70% of DLC (Approx.) Answer 2. Calculation of Activity Rate Total cost Allocation Base Allocation Rate Machining            204,886               152,900 Mach. Hrs                  1.34 per mach. Hr Setups            157,520                       358 Setup Hrs              440.00 per setup hr. Product Sustaining            100,000                            2 Production        50,000.00 per product Other              60,300 NA NA Total Overhead            522,706 Assigning Overhead Cost to Product Model Using ABC Method Activity Based Overhead Rate B300 T500 Cost Driver Incurred OH Allocated Cost Driver Incurred OH Allocated Machining                   1.34 per mach. Hr              90,200 Mach. Hrs        120,868.00      62,700 Mach. Hrs          84,018.00 Setups              440.00 per setup hr.                      78 Setup Hrs          34,320.00            280 Setup Hrs        123,200.00 Product Sustaining        50,000.00 per product                         1 Production          50,000.00                 1 Production          50,000.00 Total Overhead              205,188              257,218 Calculation of Product Margin Under ABC Costing B300 T500 Total Sales in Units              60,200                 12,600 SP per Unit                       21                         39 Sales in $        1,264,200               491,400        1,755,600 Less: Costs Direct Materials            400,200               162,300            562,500 Direct Labor            120,900                 42,600            163,500 Advertising Costs              53,000               102,000            155,000 Indirect Costs: Machining            120,868                 84,018            204,886 Setups              34,320               123,200            157,520 Product Sustaining              50,000                 50,000            100,000 Total costs assigned to products            779,288               564,118        1,343,406 Product Margin            484,912               (72,718)            412,194 Answer 3. B300 T500 Total Amount Amount % of Total amount Amount % of Total amount Traditional Cost System Direct Materials            400,200 71.15%            162,300 28.85%              562,500 Direct Labor            120,900 73.94%              42,600 26.06%              163,500 Manufacturing Overhead            386,515 73.94%            136,191 26.06%              522,706 Total cost assigned to products            907,615 72.68%            341,091 27.32%          1,248,706 Selling & Admn. Exp.              590,000 Total Costs          1,838,706 B300 T500 Total Amount Amount % of Total amount Amount % of Total amount Activity Based Costing system Direct Materials            400,200 71.15%            162,300 28.85%              562,500 Direct Labor            120,900 73.94%              42,600 26.06%              163,500 Advertising Costs              53,000 34.19%            102,000 65.81%              155,000 Indirect Costs: Machining            120,868 58.99%              84,018 41.01%              204,886 Setups              34,320 21.79%            123,200 78.21%              157,520 Product Sustaining              50,000 50.00%              50,000 50.00%              100,000 Total costs assigned to products            779,288 58.01%            564,118 41.99%          1,343,406 Costs not assigned to products Selling & Admn. Exp.              435,000 Other Costs                60,300 Total Costs          1,838,706