The owner of a pub hires a bartender. The owner is concerned that the bartender may

be giving his friends more beer than they pay for. In response, the owner considers

purchasing surveillance equipment $($such as closed$-$circuit television$)$ and installing it

in the pub in order to monitor the bartender.

$($a$)$ Discuss analytically the factors that the owner should consider when she decides

how much to spend on surveillance equipment.

$($b$)$ Explain why the owner might also want to change the bartender's compensation

scheme when she purchases surveillance equipment.