Question

Real Cool produces two different models of air conditioners. The company produces the mechanical systems in their components department. The mechanical systems are combined with the housing assembly in its finishing department. The activities, costs, and drivers associated with these two manufacturing processes and the production support process follow. (Round OH rate and cost per unit answers to 2 decimal places.)

Process Activity Overhead Cost Driver Quantity
Compnents Changeover $452,000 Number of batches 750
Machining 300,200 Machine hours 7,640
Setups 229,000 Number of setups 40
$981,200
Finishing Welding $180,100 Welding hours 3,600
Inspecting 231,000 Number of inspextions 850
Rework 81,250 Rework orders 210
$472,350
Support Purchasing $136,500 PUrchase orders 480
Providing space 30,300 Number of units 4,500
Providing utilities 50,910 Number of units 4,500
$227,710
Additional production information concerning its two product lines follows.
Model 145 Model 212
Units produced 1,500 3,000
Welding hours 1,400 2,200
Batches 375 375
Number of inspections 610 340
Machine hours 2,290 6,350
Setups 20 20
Rework orders 80 130
Purchase orders 320 160
Required:
1. Using a plantwide overhead rate based on machine hours, compute the overhead cost per unit for each product line.
2. Determine the total cost per unit for each products line if the direct labor and direct materials costs per unit are $220 for Model 145 and $150 for Model 212.
3. Assume if the market price for Model 145 is $755 and the market price for Model 212 is $590, determine the profit or loss per unit for each model.

Answer 1

1. Plantwide Overhead Rate $ 220.06 per machine hour

Total Cost per Unit= Model 145 $ 555.96 per unit

Total cost per unit = Model 212 $ 616.94 per unit

Profit (loss) Model 145 219.04

Loss Model 212 (26.94)

Step-by-step explanation:

Real Cool

Process Activity Overhead Cost Driver Quantity

Components

Changeover $452,000 Number of batches 750

Machining 300,200 Machine hours 7,640

Setups 229,000 Number of setups 40

$981,200

Finishing

Welding $180,100 Welding hours 3,600

Inspecting 231,000 Number of inspections 850

Rework 81,250 Rework orders 210

$472,350

Support

Purchasing $136,500 Purchase orders 480

Providing space 30,300 Number of units 4,500

Providing utilities 50,910 Number of units 4,500

$227,710

Additional production information concerning its two product lines follows.

Model 145 Model 212

Units produced 1,500 3,000

Welding hours 1,400 2,200

Batches 375 375

Number of inspections 610 340

Machine hours 2,290 6,350

Setups 20 20

Rework orders 80 130

Purchase orders 320 160

We find the plantwide overhead rate by dividing the total overhead with the total machine hours.

1. Plantwide Overhead Rate= Total Factory Overhead/ Total Machine Hours

Plantwide Overhead Rate= $981,200+ $472,350+$227,710/7640

= 1681260/7640= $ 220.06 per machine hour

We multiply the machine hours of each model to get the overhead .

2. Cost of Model 145

Materials and Labor = $220 *1500= $330,000

Overhead = $220.06 *2290= $503,937.4

Total Cost = $83,3937.4

Total Cost per Unit= $83,3937.4/1500= $ 555.96 per unit

Cost Of Model 212

Materials and Labor = $150 *3000= $ 450,000

Overhead = $220.06 *6350= $ 1400,810

Total Cost = $ 1850810

Total cost per unit = $ 1850810/ 3000= $ 616.94 per unit

We find the profit or loss by subtracting the mfg cost from the market value.

3. Model 145 Model 212

Market Price $775 $590

Manufacturing Cost ($555.96) ($616.94)

Profit (loss) 219.04 (26.94)