Can somebody help me with a homework problem? I posted it yesterday and got an answer which did not show the calculations on the allocation piece of problem 2, which is something I do not understand. Can somebody please show work? Do I need to calculate the per run/per hour cost for problem 2, since the amount of total overhead is already provided? Are both Raw materials and direct labor included in Prime? I understand that platewide rate is total overhead/total direct labor hours, but then I do not know how to calculate the total unit cost after getting the per hour rate? Any information you can provide would be much appreciated. The problem and my answers is posted below, thanks in advance for your help.

ABC uses activity based costing where overhead from three different production departments are allocated to products as follows:

Activity Driver Activity Rate Product A Product B

Cutting Machine Hours $1.50 per machine hour 1,000 hours 2,000 hours

Assembly Assembly Hours $.50 per assembly hour 2,000 hours 1,000 hours

Painting Gallons of Paint $4.00 per gallon 500 gallons 300 gallons

Raw materials are directly followed to each product and the amount of raw materials used for Product A was $12,000 and for Product B was $8,000. Direct labor is directly followed to each product and the amount of direct labor used for product A was $6,000 and for product B was $8,000. There were 1,125 units of product A manufactured and 690 units of product B manufactured.

Calculate the total unit cost of making product A and product B. Show computations.

Product A

1.5*1000=1500

.5*2000=1000

$4*500=2000

Prime: 18000

Total: 22500

22,500/1125=20 cost per unit

Product B

1.5*2000=3000

.5*1000=500

$4*300=1200

Prime: 16000

Total: 20700

20700/690=30 cost per unit

Problem 2

MNO uses activity based costing where overhead from three different cost centers are allocated to products based upon the following:

Activity Driver Overhead Costs Product A Product B

Setup Production Runs $70,000 50 productions runs 20 production runs

Inspection Inspection Hours $210,000 200 hours 100 hours

Machining Machine Hours $700,000 5,000 hours 2,000 hours

Raw materials are directly followed to each product and the amount of raw materials used for Product A was $200,000 and for Product B was $100,000. Direct labor is directly followed to each product and the amount of direct labor used for product A was $90,000 and for product B was $40,000. There were 10,000 units of product A manufactured and 5,000 units of product B manufactured.

Calculate the total unit cost of making product A and product B. Show computations.

Product A

Prime: 290000

Total: 3600000/10000=360

Product B

Prime: 140000

Total: 1120000

1120000/5000=224

If MNO uses one plant wide rate to allocate all the overhead based upon direct labor direct labor hours and product A used 10,000 direct labor hours and product B used 4,000 direct labor hours calculate the total unit cost of product A and product B.

Overhead Rate=Total overhead costs/total direct labor hours

Product A

Product B