Sam$$s Discount Appliance Company just received a shipment of $30$ washing machines. The invoice list price for each washing machine is $$365.$ The manufacturer$$s catalogue indicates that Sam can take the following discounts: $30/15/10$ with $30$ percent being the normal markup, $15$ percent for free delivery and hookup, and $10$ percent for local advertising and point$-$of$-$sale displays. If Sam does not advertise this brand of washer and charges $$50$ for delivery and setup, he will pay the vendor $\_\_\_\_\_\_$ for each washing machine.