Buy Abroad Corp received an invoice dated June $20$ from Danish Specialities Corp with terms $4/20$ R$.$O$.$G for :

$100$ wooden trays @ $$33\mathrm{.}30$

$25$ cutting boards @ $$55\mathrm{.}40$

$40$ wooden bowls @ $$26\mathrm{.}60$

All items are subject to trade discounts of $25\%,73/4\%,$ and $51/2\%.$ The shipment was received on July $28.$ What is the amount due if the invoice is paid in full on August $1?$