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A company's flexible budget for the range of 50,000 units to 60,000 units of production showed variable overhead costs of $2 per unit and fixed overhead costs of $99,000. The company incurred total overhead costs of $204,600 while operating at a volume of 55,000 units. The total controllable cost variance is:

Question

A company's flexible budget for the range of 50,000 units to 60,000 units of production showed variable overhead costs of 2perunitandfixedoverheadcostsof2 per unit and fixed overhead costs of 99,000. The company incurred total overhead costs of $204,600 while operating at a volume of 55,000 units. The total controllable cost variance is:

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Solution

To calculate the total controllable cost variance, we first need to calculate the total budgeted overhead cost at the actual level of activity, and then compare it with the actual overhead cost incurred.

Step 1: Calculate the total budgeted overhead cost at the actual level of activity.

The company produced 55,000 units. Given that the variable overhead cost per unit is 2,thetotalvariableoverheadcostis55,000units2, the total variable overhead cost is 55,000 units * 2/unit = $110,000.

The fixed overhead costs are $99,000.

So, the total budgeted overhead cost at the actual level of activity is 110,000(variable)+110,000 (variable) + 99,000 (fixed) = $209,000.

Step 2: Compare the total budgeted overhead cost with the actual overhead cost incurred.

The actual overhead cost incurred is $204,600.

So, the total controllable cost variance is the total budgeted overhead cost at the actual level of activity minus the actual overhead cost incurred.

Total controllable cost variance = 209,000(budgetedcost)209,000 (budgeted cost) - 204,600 (actual cost) = $4,400.

Therefore, the total controllable cost variance is $4,400. This is a favorable variance because the actual costs were less than the budgeted costs.

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