Sellane Appliances received an invoice dated June $16$ with terms $4/10$ E$.$O$.$M$.$ for the items listed below.

$4$ refrigerators at $$1050$ each less $30\%$ and $4\%$

$5$ dishwashers at $$750$ each less $17\frac{1}{3}\%,12\mathrm{.}5\%,$ 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 $$1600$ remains

outstanding on the invoice?

$($a$)$ The last day for taking the cash discount is

$($Type a whole number.$)$

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