The determination of the total and per-unit costs of manufacturing the Gas Cooker and Charcoal Smoker is as follows:
a) Using direct labor dollars to assign all manufacturing overhead:
Gas Cooker Charcoal Smoker
Total costs $195,872.50 $289,827.50
Per unit cost $169.27 $63.28
b) Using activity-based costing to assign all manufacturing overhead:
Gas Cooker Charcoal Smoker
Total costs $169,266 $316,436
Per unit cost $195.87 $57.97
How the total costs and per unit costs are determined under conventional and activity-based costing:
Gas Cooker Charcoal Smoker Total
Units 1,000 5,000
Number of batches 70 10 80
Number of batch moves 80 20 100
Direct materials $20,000 $100,000 $120,000
Direct labor $20,000 $29,000 $49,000
Manufacturing overhead follows:
Activity Cost Cost Driver
Materials acquisition and inspection $252,000 Amount of direct materials cost
Materials movement 16,700 Number of batch moves
Scheduling 48,000 Number of batches
$316,700
a) Manufacturing Overhead Assigned based on direct labor dollars:
Total manufacturing overhead cost = $316,700
Total direct labor costs = $49,000 ($20,000 + $29,000)
Overhead rate = $6.4633 ($316,700 ÷ $49,000)
Gas Cooker Charcoal Smoker
Direct materials $20,000 $100,000
Direct labor $20,000 $29,000
Overhead $129,266 $187,436
($20,000 x $6.4633) ($29,000 x $6.4633)
Total costs $169,266 $316,436
Units 1,000 5,000
Per unit cost $169.27 $63.28
b) Using ABC:
Activity Activity Rate
Materials acquisition and inspection = $5.143 ($252,000/$49,000)
Materials movement $208.75 (16,700/80)
Scheduling $480 (48,000/100)
Gas Cooker Charcoal Smoker
Number of batches $14,612.50 $2,087.50
(70 x $208.75) (10 x $208.75)
Number of batch moves $38,400 $9,600
(80 x $480) (20 x $480)
Direct labor costs $102,860 $149,140
($20,000 x $5.143) ($29,000 x $5.143)
Total overhead allocated $155,872.50 $160,827.50
Gas Cooker Charcoal Smoker
Direct materials $20,000 $100,000
Direct labor $20,000 $29,000
Overhead $155,872.50 $160,827.50
Total costs $195,872.50 $289,827.50
Units 1,000 5,000
Per unit cost $195.8725 $57.97