Sweetheart Brands packages single-sized servings of sugar and sugar substitute for fast-food restaurants. The activities required to package sugar are fewer and less complex than for the sugar substitute. The direct costs of producing the two products are as follows:  Sugar Sugar SubstituteDirect materials$0.02  $0.04 Direct labor 0.04   0.08  Overhead is currently assigned to the two products based on machine hours. The following information is provided regarding overhead costs:Activity Traceable Costs Cost Driver Sugar Line Sugar Sub. Line TotalSetup $50,000  No. of setups  125   125   250 Packing  120,000  No. of machine hrs.  10,000   40,000   50,000 Inspection  30,000  No. of

batches  250   350   600   $200,000                Required:1) Compute the predetermined overhead rate under the current method of overhead cost allocation. How much total overhead cost will be assigned to each product under the current system?2) Compute the three activity rates that would be used in an activity-based system. How much total overhead cost will be assigned to each product under an ABC system?3) Assuming an ABC system to be more precise, by how much does the company's current costing system over- or undercost the products? Be specific.

What will be an ideal response?


1) Allocation rate based on machine hours:
Total overhead/Total machine hours = $200,000/50,000 = $4.00 per machine hour
Total overhead assigned:
Sugar: $4.00 × 10,000 = $40,000
Sugar Substitute: $4.00 × 40,000 = $160,000

2) Allocation rate based on ABC:
Setup $50,000/250 = $200 per setup
Packing $120,000/50,000 = $2.40 per machine hour
Inspection $30,000/600 = $50 per inspection
Total overhead assigned:

 Sugar Sugar Substitute
Setup ($200 × 125, 125)$25,000  $25,000 
Packing ($2.40 × 10,000, 40,000) 24,000   96,000 
Inspection ($50 × 250, 350) 12,500   17,500 
Total$61,500  $138,500 
 
3) The current system undercosts sugar by $21,500 ($61,500 - $40,000) and overcosts sugar substitute by the same amount.

Business

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