Spring Appliances received an invoice dated August $18$ with terms $2/10$ E$.$O$.$M$.$ for the items listed below.

$6$ refrigerators at $$$$1030$ each less $30\%$ and $5\%$

$3$ dishwashers at $$$$784$ each less $15$ and one third

$\%,12\mathrm{.}2\%,$ and $3\%$

$($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 $$$$1700$ remains outstanding on the$$ invoice?