Automatic versus Manual Processing

photocopies, with lease and operating costs totaling $$3,000,$ plus $$0\mathrm{.}05$ per $1,000$ units collated.

$($a$)$ Determine the total costs of collating $1,000,000$ and $2,000,000$ per$-$month:

With student help.

With the collating machine.

$($b$)$ Determine the monthly volume at which the automatic process becomes preferable to $($costs less than$)$ the manual process.

Round answer to the nearest whole number.

copies