Belvedere Bricks manufactures bricks for the construction industry, which are sold online to customers on credit $(20\%$ of sales$)$ and to customers through their retail store for cash $(80\%$ of sales$).$ Belvedere Bricks is preparing a sales budget for May. April sales were $1,600$ tubs. May sales are estimated to be $1,700$ pallets of bricks. The average selling price per pallet is $$150.$ Credit customers pay $80\%$ in the month after sale. The remaining credit sales are bad. What is the estimated total cash collected in the sales budget for May?