Problem $5-20($Algo$)$ Evaluating the Profitability of Services $[$LO$5-2,$ LO$5\mathrm{.}3,$ LO$5-4,$ LO$5\mathrm{.}5]$

Gallatin Carpet Cleaning is a small, family$-$owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $$22\mathrm{.}85$ per hundred square feet. However. there is some question about whether the company is actually making any money on jobs for some customers$-$particularly those located on remote ranches that require considerable travel time. The owner's daughter, home for the summer from college, has suggested investigating this question using activity$-$based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below:

$\backslash$table$[[$Activity Cost Pool,Activity Heasure,Activity for the Year$],[$Cleaning carpets,Square feet cleaned $($ees$),6,560$ hundred square feet$],[$Travel to jobs,Miles driven,$197,600$ miles$],[$Job support,Number of jobs,$1,900$ jobs$],[\backslash$table$[[$Other $($organization$-$sustaining costs and idle$],[$copocity costs$)]],$Hone,Not applicable$]]$

The total cost of operating the company for the year is $$346,000$ which includes the following costs:

$\backslash$table$[[$Wages$,$$$143,000$