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Alpha Company has two service departments, the Maintenance and Personnel departments. The Maintenance Department costs of $312689 are allocated on the basis of budgeted maintenance-hours. Personnel Department costs of $210181 are allocated based on the number of employees. The costs of operating departments A and B are $208,000 and $312,000, respectively. Data on budgeted maintenance-hours and number of employees, and costs are as follows:                                                                                                                                                                                                                                                                                                                                                                                                                                                                     Maintenance DepartmentPersonnel DepartmentABBudgeted costs$312689$210181$208,000$312,000Budgeted maintenance-hoursNA 805 1225 682 Number of employees50NA270630 Using the step-down method of cost allocation, compute the amount of the Maintenance Department cost that will be allocated to Department B if the Maintenance Department cost is allocated first.

Question

Alpha Company has two service departments, the Maintenance and Personnel departments. The Maintenance Department costs of 312689areallocatedonthebasisofbudgetedmaintenancehours.PersonnelDepartmentcostsof312689 are allocated on the basis of budgeted maintenance-hours. Personnel Department costs of 210181 are allocated based on the number of employees. The costs of operating departments A and B are 208,000and208,000 and 312,000, respectively. Data on budgeted maintenance-hours and number of employees, and costs are as follows:                                                                                                                                                                                                                                                                                                                                                                                                                                                                     Maintenance DepartmentPersonnel DepartmentABBudgeted costs312689312689210181208,000208,000312,000Budgeted maintenance-hoursNA 805 1225 682 Number of employees50NA270630 Using the step-down method of cost allocation, compute the amount of the Maintenance Department cost that will be allocated to Department B if the Maintenance Department cost is allocated first.

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Solution

To calculate the amount of the Maintenance Department cost that will be allocated to Department B using the step-down method, we first need to determine the total budgeted maintenance-hours and then calculate the cost per maintenance-hour.

The total budgeted maintenance-hours is the sum of the maintenance-hours for Department A and Department B, which is 805 + 1225 = 2030 maintenance-hours.

The cost per maintenance-hour is the total Maintenance Department cost divided by the total budgeted maintenance-hours, which is 312,689/2030=312,689 / 2030 = 154.07 per maintenance-hour.

Finally, to find the amount of the Maintenance Department cost that will be allocated to Department B, we multiply the cost per maintenance-hour by the number of budgeted maintenance-hours for Department B, which is 154.071225=154.07 * 1225 = 188,785.75.

So, $188,785.75 of the Maintenance Department cost will be allocated to Department B if the Maintenance Department cost is allocated first.

This problem has been solved

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