Answer:
$409185
Explanation:
Given: Budgeted output units: 28,475 units
Budgeted machine-hours: 17,085 hours
Budgeted variable manufacturing overhead costs for 28,475 units: $358,785
Actual output units produced: 32,475 units
Actual machine-hours used: 15,000 hours
Actual variable manufacturing overhead costs: $384,060.
First, we will find Budgeted machine hour per unit produced.
Budgeted machine hour per unit produced= ![\frac{Budgeted\ machine\ hour}{Budgeted\ units}](https://tex.z-dn.net/?f=%5Cfrac%7BBudgeted%5C%20machine%5C%20hour%7D%7BBudgeted%5C%20units%7D)
⇒![Budgeted machine hour per unit produced= 17085\div 28475= 0.6](https://tex.z-dn.net/?f=Budgeted%20machine%20hour%20per%20unit%20produced%3D%2017085%5Cdiv%2028475%3D%200.6)
∴Budgeted machine hour per unit produced= 0.6
Budgeted machine hours allowed for 32475 units= ![32475\times 0.6= 19485](https://tex.z-dn.net/?f=32475%5Ctimes%200.6%3D%2019485)
Budgeted variable overhead rate per machine hour= ![\textrm {Budgeted variable manufacturing overhead costs}\div Budgeted\ machine\ hours](https://tex.z-dn.net/?f=%5Ctextrm%20%7BBudgeted%20variable%20manufacturing%20overhead%20costs%7D%5Cdiv%20Budgeted%5C%20machine%5C%20hours)
Budgeted variable overhead rate per machine hour= ![358785\div 17085= \$ 21](https://tex.z-dn.net/?f=358785%5Cdiv%2017085%3D%20%5C%24%2021)
Now, lets find out flexible budget amount.
Flexible budget amount= ![\textrm{Budgeted machine hours allowed}\times \textrm{Budgeted variable overhead rate}](https://tex.z-dn.net/?f=%5Ctextrm%7BBudgeted%20machine%20hours%20allowed%7D%5Ctimes%20%5Ctextrm%7BBudgeted%20variable%20overhead%20rate%7D)
Flexible budget amount= ![19485\times \$ 21= \$ 409185](https://tex.z-dn.net/?f=19485%5Ctimes%20%5C%24%2021%3D%20%5C%24%20409185)
∴Flexible budget amount for variable manufacturing overhead= $409185