Question

In: Accounting

A company recorded the following production costs during the previous two-week period: Week 1 Week 2...

A company recorded the following production costs during the previous two-week period:
Week 1 Week 2
Direct labor costs                     17,000          22,600
Other manufacturing costs                     25,000          31,400
Units produced                        5,000            7,000
Assuming both weeks fall in the same relevant range, what was the total fixed cost during Week 1?

Solutions

Expert Solution

Variable direct labor cost per unit = Change in direct labor cost/ Change in units

= (22,600-17,000)/(7,000-5,000)

= 5,600/2,000

= $2.8

Variable direct labor cost for 5,000 units = Variable direct labor cost per unit x 5,000

= 2.8 x 5,000

= $14,000

Total direct labor costs for 5,000 units = $17,000

Fixed direct labor cost = Total direct labor costs for 5,000 units- Variable direct labor cost for 5,000 units

= 17,000-14,000

= $3,000

Variable manufacturing costs per unit = Change in manufacturing costs/ Change in units

= (31,400-25,000)/(7,000-5,000)

= 6,400/2,000

= $3.2

Variable manufacturing cost for 5,000 units = Variable manufacturing costs per unit x 5,000

= 3.2 x 5,000

= $16,000

Total manufacturing costs for 5,000 units = $25,000

Fixed manufacturing costs = Total manufacturing costs for 5,000 units- Variable manufacturing cost for 5,000 units

= 25,000-16,000

= $9,000

Total fixed cost = Fixed direct labor cost + Fixed manufacturing costs

= 3,000+9,000

= $12,000

The total fixed cost during Week 1 = $12,000


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