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A retailer pays $\backslash (\backslash$$ $120,000\backslash )$ rent each year for its two$-$story building. Space in this building is occupied by five departments as shown here.

The company allocates $\backslash (\backslash$$ $78,000\backslash )$ of total rent expense to the first floor and $\backslash (\backslash$$ $42,000\backslash )$ to the second floor. It then allocates rent expense for each floor to the departments on that floor based on square feet occupied.

Determine the rent expense to be allocated to each department.