Yogis Construction has a $$100,000$ line of credit at the Jellystone Bank. The annual percentage rate is the current prime rate plus $3\%.$ The balance on October $1$ was $$22,500.$ On October $10,$ Yogi borrowed $$15,000$ to pay for a shipment of lumber and on October $20$ he borrowed another $$32,500$ for equipment repairs. On October $25,$ Yogi made a $$30,000$ payment on the account. The billing cycle for October has $31$ days. The current prime rate is $6\%.$Hint: Use the average daily method to determine the finance Charge!

a$)\_\_\_\_\_\_\_\_\_\_\_\_\_$What is the finance charge on the account?