Please answer the following question clearly indicating what variables from those given are used to find each value, and the rationale behind why your calculation method is correct. Thank you in advance!

Company uses two producing departments $($A and B$)$ and two service departments $($S$1$ and S$2).$ The costs incurred in S$1$ and S$2$ are allocated to Departments A and B and included in their factory overhead rates for costing products. S$1$ costs are allocated based on the number of employees, S$2$ costs are allocated based on direct labor hours, and the production departmental overhead rates are also based on direct labor hours. The following data are available for a recent period:

Assuming S$2$ Service Department is allocated first, what is the cost allocated to S$1$ Service Department, Department A$,$ and Department B$?$