Community Technical College allocates administrative costs to its teaching depar

Question

Community Technical College allocates administrative costs to its teaching departments based on the number of students enrolled, while maintenance and utilities are allocated based on square feet of classrooms. Based on the information below, what is the total amount of expenses allocated to each department (rounded to the nearest dollar) if administrative costs for the college were $150,000, maintenance expenses were $70,000, and utilities were $85,000?


Teaching Size of
Department Students Classroom
Electronics 117 900 sq. ft.
Automotive 156 750 sq. ft.
Computers 429 1,200 sq. ft.
Plumbing 78 150 sq. ft.

Explanation / Answer

administrative costs = $150,000
maintenance expenses = $70,000, and utilities = $85,000
Department Students Classroom
Electronics 117 900 sq. ft.
Automotive 156 750 sq. ft.
Computers 429 1,200 sq. ft.
Plumbing 78 150 sq. ft.
total 780 3000sq.ft
proportion students sq.ft   admin($)   mainte.($) utilities($)  total($)

electronics     .15      .3      22,500      21,000     25,500     69 000 
automotive     .2      .25     30,000      17,500     21,250     68 750
Computers      .55      .4      82,500     28,000      34,000   144 500
plumbing        .1        .05    15,000       3,500       4,250      22 750

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