Canfield Technical School allocates administrative costs to its respective departments based on the number of students enrolled, while maintenance and utility costs are allocated based on the square footage of each department's classroom. Based on the information below, what is the total amount allocated to the Welding Department $($rounded to the nearest dollar$)$ if administrative costs for the school were $$51,000,$ maintenance fees were $$13,000,$ and utilities were $$6,100?$

$\backslash$table$[[$Department$,$Students,Classroom Square Feet$],[$Electrical$,200,11,100],[$Welding$,100,14,800],[$Accounting$,60,7,400],[$Carpentry$,40,3,700],[$Total$,400,37,000]]$

Multiple Choice

$$0.$

$$17,525.$

$$20,390.$

$$28,040.$

$$33,300.$