Question

For many years, Thomson Company manufactured a single product called LEC 40. Then three years ago, the company automated a portion of its plant and at the same time introduced a second product called LEC 90 that has become increasingly popular. The LEC 90 is a more complex product, requiring 0.60 hours of direct labor time per unit to manufacture and extensive machining in the automated portion of the plant. The LEC 40 requires only 0.20 hours of direct labor time per unit and only a small amount of machining. Manufacturing overhead costs are currently assigned to products on the basis of direct labor-hours.

Despite the growing popularity of the company’s new LEC 90, profits have been declining steadily. Management is beginning to believe that there may be a problem with the company’s costing system. Direct material and direct labor costs per unit are as follows:

	LEC 40		LEC 90
Direct materials	$	20.00	$	46.00
Direct labor (0.20 hours and 0.60 hours @ $15.00 per hour)	$	3.00	$	9.00

Management estimates that the company will incur $920,000 in manufacturing overhead costs during the current year and 80,000 units of the LEC 40 and 40,000 units of the LEC 90 will be produced and sold.

1-a. Compute the predetermined overhead rate assuming that the company continues to apply manufacturing overhead cost on the basis of direct labor-hours.

1-b. Using this rate and other data from the problem, determine the unit product cost of each product.

2. Management is considering using activity-based costing to assign manufacturing overhead cost to products. The activity-based costing system would have the following four activity cost pools:

Activity Cost Pool	Activity Measure	Estimated Overhead Cost
Maintaining parts inventory	Number of part types	$	258,000
Processing purchase orders	Number of purchase orders		80,000
Quality control	Number of tests run		32,000
Machine-related	Machine-hours		550,000
		$	920,000

	Expected Activity
Activity Measure	LEC 40	LEC 90	Total
Number of part types	750	1,400	2,150
Number of purchase orders	1,600	400	2,000
Number of tests run	1,400	1,800	3,200
Machine-hours	4,000	6,000	10,000

Determine the activity rate for each of the four activity cost pools. (Round your answers to 2 decimal places.)

3. Using the activity rates you computed in part (2), do the following:

a. Determine the per unit amount of manufacturing overhead cost that would be assigned to each product using the activity-based costing system.

b. Compute the unit product cost of each product.

Answer 1

1a

PREDETERMIND OVERHEAD RATE
DIRECT LABOUR HOUR REQUIRE TO PRODUCE LEC 40	16,000.00	(=80000*0.2)
DIRECT LABOUR HOUR REQUIRE TO PRODUCE LEC 90	24,000.00	(=40000*0.6)
Total Direct Labour hours require	40,000.00
Manufacturing overhead cost	9,20,000.00
Overhead rate based on labour hours	23	(=920000/40000)

1b

Unit Product Cost
Particular's	LEC 40	LEC 90
Direct Material	20	46
Direct Labour	3	9
Overhead (Overhead rate * Labour require per unit)	4.6	13.8
Total	27.6	68.8

2

Activity rate for each activity
Activity Cost pool	Activity measure	number of total activity	Estimated overhead cost	Activity rate
Maintainig part inventory	Number of part types	2,150.00	2,58,000.00	120
Processing purchase order	Number of purchase orders	2,000.00	80,000.00	40
Quality Control	Number of test runs	3,200.00	32,000.00	10
machine related	Machine - hours	10,000.00	5,50,000.00	55
	Total		9,20,000.00

3a

Manufacturing Overhead Cost
		LEC 40		LEC 90
Particular's	Activity rate	Number of activty	Total cost	Number of activty	Total cost
Number of part types	120.00	750.00	90,000.00	1,400.00	1,68,000.00
Number of purchase orders	40.00	1,600.00	64,000.00	400.00	16,000.00
Number of test runs	10.00	1,400.00	14,000.00	1,800.00	18,000.00
Machine - hours	55.00	4,000.00	2,20,000.00	6,000.00	3,30,000.00
Total overhead			3,88,000.00		5,32,000.00
unit produce			80,000.00		40,000.00
Per unit overhead cost			4.85		13.3

3b

Unit Product Cost
Particular's	LEC 40	LEC 90
Direct Material	20	46
Direct Labour	3	9
Overhead base on activity	4.85	13.3
Total	27.85	68.3