Answer: $411,232
Explanation:
Direct labor = $125,000
Direct materials = $167,000
Fixed factory overhead = $13,500
for 7,800 hours of production
Actually completed = 10,500 hours of production
Total cost = Direct labor + Direct materials + Fixed factory overhead
= $125,000 + $167,000 + $13,500
= $305,500 for 7,800 hours of production
Cost per hour of production = [tex]\frac{Total\ cost}{Hours\ of\ production}[/tex]
=[tex]\frac{305,500}{7,800}[/tex]
= $39.16
So, in order to extend it to 10,500 we need 2,700 more hours of production.
Additional cost = Cost per hour of production × more hours of production
= $39.16 × 2,700
= $105,732
Total budget for the department = Total cost + Additional cost
= $305,500 + $105,732
= $411,232