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The fixed costs of Black Company's personnel department are allocated to operating departments on the basis of direct labor-hours. The following data have been provided:

The fixed costs of Black Company's personnel department are allocated to operating departments on the basis of direct labor-hours. The following data have been provided:

Operating Department
X Y
Direct labor-hours Long-run average 22,000 17,000
Direct labor-hours Actual 17,000 13,000

The fixed costs of the personnel department are budgeted at $89,700 per year and are incurred in order to support long-run average requirements. How much of this fixed cost should be charged to Operating Department X at the end of the year for performance evaluation purposes?

$56,000.

$63,347.

$50,600.

$39,100.

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