Spring Appliances received an invoice dated August $15$ with terms $4/10$ E$.$O$.$M$.$ for the items listed below.

$6$ refrigerators at $$$$920$ each less $30\%$ and $6\%$

$5$ dishwashers at $$$$723$ each less $16$ and one third

$\%,12\mathrm{.}2\%,$ and $5\%$

$($a$)$

What is the last day for taking the cash$$ discount?

$($b$)$

What is the amount due if the invoice is paid on the last day for taking the$$ discount?

$($c$)$

What is the amount of the cash discount if a partial payment is made such that a balance of $$$$2300$ remains outstanding on the$$ invoice?