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Problem 1.

Dowdy company produces 2 models of widgets: model A and model B. Both models consume services of 2 departments in the factory. Model A is more popular in the market place. The company sets market prices by adding a 10% markup to the total cost of production. Table 1 providesthe production data for both models.

Table 1

Model based data

 

Model based data

 

Model A

Model B

Units manufactured per year

30,000

300,000

Direct material and Direct labour costs

$105,000

$1,000,500

Direct labour hours

41,000

401,000

Machine hours

21,000

201,000

Number of production runs or setups (note 1)

40

60

Inspection hours (note 2)

890

1250

Note 1: each model is produced in batches. A production run refers to the production of batch in Depts 1 and 2, which involves setting up machines. Dept 1 will have 40 production runs for model A, Dept 2 will also have 40 production runs for model A. The cost of production runs is directly related to the cost of setting up machines in Table 3.

Note 2: Inspection hours are consumed to ensure the quality of products manufactured

Table 2 provides information about the 2 production departments utilised by the 2 models.

Table 2


Department data


Department 1

Department 2

Direct labour hours:

Model A

Model B



30,500

10,500

45,500

355,500

Total

76,000

366,000

Machine hours:

Model A

Model B



10,500

10,500

160,500

40,500

Total

171,000

51,000

Total overhead costs

$340,500

$280,500

Table 3 provides a breakdown of the departmental overhead costs, viz. $340,500 and $280,500.

Table 3

 

Department data

Overhead costs:

Department 1

Department 2

Total cost of setting up machines. (note 3)

$90,000

$45,000

Inspection costs

70,250

95,250

Power

100,000

70,000

Miscellaneous

80,250

70,250

Total

$340,500

280,500

 

 

 

Note 3: The cost of setting up machines remains the same per set-up (for each batch) regardless of how many units are manufactured in each batch.

Required (round off all overhead rates to 2 decimal places). Show all calculations.

1. Compute the plantwideoverhead cost rate, using direct labour hours as the cost driver (or activity base).

2. Apply the rate in (1) to models A and B. Calculate the amount of overhead allocated to each unit of models A and B.

3. Calculate departmental overhead cost rates: use machine hours for Dept 1, and labour hours for Dept 2.

4. Apply these rates in (3) to models A and B. Calculate the amount of overhead allocated to each unit of models A and B.

5. Compare the overhead allocation methods under 1 and 3 for each model. Clearly explain (by referring back to the case facts)the differences in allocated costs with respect to each model. This part requires a narration that explains any figures calculated to highlight differences in allocated amounts: students cannot just provide calculations without providing a detailed explanation. The marking criteria listed in the rubric provided will be applied in assessing part (5): please ensure that the answer is written in full sentences and using paragraphs. An answer with key words only, which are not developed into a reasoned argument, is not acceptable for second-year assignments. Please see rubric for criteria used to assess the quality of this answer.

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