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What is the amount of service department overhead that would have been apportioned to Department Z?

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A company has three production departments X, Y and Z, and one service department.

The service department’s overhead has been apportioned to the production departments in the ratio 3:2:5. As a result of this apportionment, $2,070 was given to Department Y.

What is the amount of service department overhead that would have been apportioned to Department Z? Give your answer to the nearest dollar.

Answer: $5,175

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