Problem #$5($from Section $1\mathrm{.}3$ "Models in Business Analytics"$)$: A firm installs $1,500$ air conditioners th need to be checked every six months. The firm can hire a team from its logistics department at a fixe cost of $6,000.$ This team will check each unit for $15\mathrm{.}00.$ The firm can also outsource this at a cost $17\mathrm{.}00$ inclusive of all charges. Part a$.$ For the given number of units, compute the firm's total cost of checking for both options. Whic is a better decision? Part b$.$ Find the break$-$even volume and characterize the range of volumes for which it is more economic to outsource.