Question

In: Accounting

A company is manufacturing building bricks and fire bricks. Both production require two processes. Brick forming...

A company is manufacturing building bricks and fire bricks. Both production require two processes. Brick forming and Heat treatment. The requirements for the two bricks are:

Building Bricks Fire Bricks
Forming per 100 bricks 3 hours 2 hours
Heating treatment per 100 bricks 2 hours 5 hours
Total cost of the two departments in one months were:
Forming $ 21 200
Heat treatment $ 48 800
Units produced during the month was: 130 000 70 000

Require:

Prepare statement of manufacturing costs for the two types of bricks.

Solutions

Expert Solution

1.1
The statement of manufacturing costs for the two types of bricks is prepared as below.
Statement Showing Manufacturing Costs of Building Bricks
Process Time for 100 Units (Hours) [A] Rate Per Hour ($) [B] Cost Per 100 Units [A*B] Cost for 130,000 Units
Brick Forming 3 4 $12 15,600 (130,000/100*12)
Heat Treatment 2 8 $16 20,800 (130,000/100*16)
$28 $36,400
Statement Showing Manufacturing Costs of Fire Bricks
Process Time for 100 Units (Hours) [A] Rate Per Hour ($) [B] Cost Per 100 Units [A*B] Cost for 70,000 Units
Brick Forming 2 4 $8 5,600 (70,000/100*8)
Heat Treatment 5 8 $40 28,000 (70,000/100*40)
$28 $33,600
Notes:
The rate per hour calculation is determined as follows:
Brick Forming:
Total Building Bricks Hours = (Building Bricks Produced during the Month*Number of Forming Hours Per 100 Bricks)/100 = (130,000*3)/100 = 3,900 hours
Total Fire Brick Hours = (Fire Bricks Produced during the Month*Number of Forming Hours Per 100 Bricks)/100 = (70,000*2)/100 = 1,400 hours
Total Hours Needed for Brick Forming = Total Building Brick Hours + Total Fire Brick Hours = 3,900 + 1,400 = 5,300 hours
Cost Per Hour of Brick Forming Department = Total Brick Forming Costs/Total Hours Needed for Brick Forming = 21,200/5,300 = $4 per hour
Heat Treatment:
Total Building Bricks Hours = (Building Bricks Produced during the Month*Number of Heat Treatment Hours Per 100 Bricks)/100 = (130,000*2)/100 = 2,600 hours
Total Fire Brick Hours = (Fire Bricks Produced during the Month*Number of Heat Treatment Hours Per 100 Bricks)/100 = (70,000*5)/100 = 3,500 hours
Total Hours Needed for Heat Treatment = Total Building Brick Hours + Total Fire Brick Hours = 2,600 + 3,500 = 6,100 hours
Cost Per Hour of Heat Treatment Department = Total Heat Treatment Costs/Total Hours Needed for Heat Treatment = 48,800/6,100 = $8 per hour

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