Blue Spruce College provides its own housekeeping services. The College director would like to outsource this service

and has found a company that will provide the service for $$50$ per hour. The following information has been collected

about the cost per hour to the college for performing its own housekeeping services:

$($a$)$

Determine whether Blue Spruce College should outsource housekeeping, assuming that $50\%$ of fixed costs can be

eliminated if the service is outsourced. $($If an amount reduces the net income then enter with a negative

sign preceding the number, e$.$g$-15,000$ or parenthesis, e$.$g$.(15,000).$ While alternate approaches

are possible, irrelevant fixed costs should be included in both options when solving this problem.$)$