Automatic versus Manual Processing monthly capacity of $5,000,000$ photocopies, with lease and operating costs totaling $$1,056,$ plus $$0\mathrm{.}04$ per $1,000$ units collated.

$($a$)$ Determine the total costs of collating $500,000$ and $1,300,000$ per month:

With student help:

$\backslash$table$[[500,000$ $$,],[1,300,000,$$$]]$

With the collating machine:

$\backslash$table$[[500,000,5,0],[1,300,000,$$$,0]]$

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

copies.