Advance Engineering makes payments on its inventory purchases as follows: $30\%$ in the month of purchase, $50\%$ in the following month, and $20\%$ in the second month following purchase. Budgeted inventory purchases for June, July, and August are $$50,000,$ $$43,000$ and $$56,000,$ respectively. Cash payments for inventory in August are budgeted at $\_\_\_\_\_\_\_\_.$

$$40,500$

$$51,900$

$$56,000$

$$48,300$