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Answer #1

Answer 1.

May:

Utilities per machine hour = Utilities / Machine hours
Utilities per machine hour = $63,000 / 42,000
Utilities per machine hour = $1.50

July:

Utilities = Utilities per machine hour * Machine hour
Utilities = $1.50 * 72,000
Utilities = $108,000

Total overhead cost = Utilities + Supervisory + Maintenance
$242,660 = $108,000 + $41,000 + Maintenance
Maintenance = $93,660

Answer 2.

Maintenance per machine hours = (Maintenance during July - Maintenance during May) / (Machine hours during July - Machine hours during May)
Maintenance per machine hours = ($93,660 - $61,260) / (72,000 - 42,000)
Maintenance per machine hours = $1.08

Fixed maintenance = Maintenance during July - Maintenance per machine hours * Machine hours during July
Fixed maintenance = $93,660 - $1.08 * 72,000
Fixed maintenance = $15,900

Maintenance = $15,900 + $1.08 * Number of machine hours

Answer 3.

Variable overhead cost per machine hour = Utilities per machine hours + Maintenance per machine hours
Variable overhead cost per machine hour = $1.50 + $1.08
Variable overhead cost per machine hour = $2.58

Fixed overhead = Supervisory salaries + Maintenance
Fixed overhead = $41,000 + $15,900
Fixed overhead = $56,900

Total overhead cost = Fixed overhead + Variable overhead cost per machine hour * Number of machine hours
Total overhead cost = $56,900 + $2.58 * Number of machine hours

Answer 4.

Total overhead cost = $56,900 + $2.58 * Number of machine hours
Total overhead cost = $56,900 + $2.58 * 47,000
Total overhead cost = $178,160

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