Final answer:
Using the given information, the budgeted variable manufacturing overhead rate is calculated and then used to find the flexible-budget amount and the variance. The variance calculated does not match the provided options, indicating an issue with the question. The cost per unit is determined to be $11.235.
Step-by-step explanation:
To calculate the flexible-budget amount for variable manufacturing overhead, we first need to determine the budgeted variable manufacturing overhead rate, which is calculated by dividing the budgeted variable manufacturing overhead costs by the budgeted machine-hours. Thus:
Budgeted Variable Manufacturing Overhead Rate = $348,285 / 16,585 hours = $21 per machine-hour.
The flexible-budget amount is then found by multiplying this rate by the actual machine hours used. So:
Flexible-Budget Amount for Variable Manufacturing Overhead = $21 per machine-hour * 14,400 actual machine hours = $302,400.
Looking at the options provided, none match this calculated figure, indicating a possible typo or miscalculation in the options given.
To calculate the flexible-budget variance for variable manufacturing overhead, we subtract the flexible-budget amount from the actual variable manufacturing overhead costs. Therefore:
Flexible-Budget Variance = Actual Variable Manufacturing Overhead Costs - Flexible-Budget Amount
Flexible-Budget Variance = $384,000 - $302,400
Flexible-Budget Variance = $81,600 unfavorable.
Again, this does not match any of the provided options, suggesting an issue with the options.
Finally, to calculate the budgeted variable manufacturing overhead cost per unit, divide the budgeted variable manufacturing overhead costs by the budgeted output units:
Budgeted Variable Manufacturing Overhead Cost per Unit = $348,285 / 31,000 units = $11.235 per unit.
Therefore, the correct answer from the provided options is C) $11.235.