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Task 2 (25%) Sunflower Ltd. manufactures tires and sports rims. It has just comp

ID: 460175 • Letter: T

Question

Task 2 (25%)

Sunflower Ltd. manufactures tires and sports rims. It has just completed the production of its second batch of newly designed sports rims, IM-37. The following tables show the variable costs of producing the relevant units for both cumulative average-time and incremental unit-time learning models.

Table 1: Total variable costs of producing 2, 4, and 8 units (cumulative average-time learning model) uses an 85% cumulative average-time learning model for a learning curve for manufacturing labor time system

Variable Costs of Producing

2 Units

4 Units

8 Units

Direct materials RM150,000 2; 4; 8

Direct manufacturing labor

   RM30 10,000; 16,340; 30,400

Variable manufacturing overhead

   RM22 10,200; 17,340; 29,480

Total variable costs

RM300,000

300,000

224,400

RM824,400

RM600,000

   490,200

   381,480

RM1,471,680

RM1,200,000

912,000

   648,560

RM2,760,560

Table 2: Total variable costs of producing 2, 3, and 4 units (Incremental unit-time learning model) uses an 85% incremental unit-time learning model as a basis for predicting direct manufacturing labor-hours.

Variable Costs of Producing

2 Units

3 Units

4 Units

Direct materials RM150,000 2; 3; 4

Direct manufacturing labor

   RM30 11,000; 15,550; 20,000

Variable manufacturing overhead

   RM22 11,100; 15,737; 20,072

Total variable costs

RM300,000

330,000

   244,200

RM874,200

RM 450,000

   466,500

   346,214

RM1,262,714

RM600,000

   600,000

   441,584

RM1,641,584

As a controller, you are entrusted with a responsibility to decide on which model should the firm choose. Prepare a suggestion report concerning the matter. Your report should include the following points:

Compare your cost predictions in Table 1 and 2 for 2 and 4 units and critically discuss the differences in the predictions.

Critically elaborate on how you should decide which model the firm should use and why you should or should not choose the models.

Please support your arguments with relevant and valid sources from academic journal articles.

Variable Costs of Producing

2 Units

4 Units

8 Units

Direct materials RM150,000 2; 4; 8

Direct manufacturing labor

   RM30 10,000; 16,340; 30,400

Variable manufacturing overhead

   RM22 10,200; 17,340; 29,480

Total variable costs

RM300,000

300,000

224,400

RM824,400

RM600,000

   490,200

   381,480

RM1,471,680

RM1,200,000

912,000

   648,560

RM2,760,560

Explanation / Answer

Solution :

In given question we have to compare the two models .

Model 1 : Cumulative average-time learning model

Model 2 : Incremental unit-time learning model

Variable Costs of Producing

Variable Costs of Producing

2 Units

4 Units

8 Units

2 Units

3 Units

4 Units

Direct materials RM150,000 2; 4; 8

RM300,000

RM600,000

RM1,200,000

Direct materials RM150,000 2; 3; 4

RM300,000

RM 450,000

RM600,000

Direct manufacturing labor

Direct manufacturing labor

   RM30 10,000; 16,340; 30,400

300,000

   490,200

912,000

   RM30 11,000; 15,550; 20,000

330,000

   466,500

   600,000

Variable manufacturing overhead

Variable manufacturing overhead

   RM22 10,200; 17,340; 29,480

224,400

   381,480

   648,560

   RM22 11,100; 15,737; 20,072

   244,200

   346,214

   441,584

Total variable costs

RM824,400

RM1,471,680

RM2,760,560

Total variable costs

RM874,200

RM1,262,714

RM1,641,584

Now for both the model the learning curve given is 85 % .

But if we analyze both model on the factor given that is ,

This can help us to make a conclusion about the model.

Now We will analyze the case for 2 & 4

Average

Incremental

% change (Increase)

2

2

Direct materials

300000

300000

0.00

Direct manufacturing labor

300000

300330

0.11

Variable manufacturing overhead

224400

244200

8.82

Total variable costs

824400

874200

6.04

.

Average

Incremental

% change (Increase)

4

4

Direct materials

600000

600000

0.00

Direct manufacturing labor

490200

600000

22.40

Variable manufacturing overhead

381480

441584

15.76

Total variable costs

1471680

1641584

11.54

If we see carefully in above table we will come to know that the incremental model is having the higher cost compare to Average model.

So with ref to calculation & cots select model Average -time learning model .

Variable Costs of Producing

Variable Costs of Producing

2 Units

4 Units

8 Units

2 Units

3 Units

4 Units

Direct materials RM150,000 2; 4; 8

RM300,000

RM600,000

RM1,200,000

Direct materials RM150,000 2; 3; 4

RM300,000

RM 450,000

RM600,000

Direct manufacturing labor

Direct manufacturing labor

   RM30 10,000; 16,340; 30,400

300,000

   490,200

912,000

   RM30 11,000; 15,550; 20,000

330,000

   466,500

   600,000

Variable manufacturing overhead

Variable manufacturing overhead

   RM22 10,200; 17,340; 29,480

224,400

   381,480

   648,560

   RM22 11,100; 15,737; 20,072

   244,200

   346,214

   441,584

Total variable costs

RM824,400

RM1,471,680

RM2,760,560

Total variable costs

RM874,200

RM1,262,714

RM1,641,584

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