Avengers Inc. began operations on January $1$ of the current year with a $$25,000$ cashbalance. $40\%$ of sales are collected in the month of sale; $60\%$ are collected in the monthfollowing sale. Similarly, $45\%$ of purchases are paid in the month of purchase, and $55\%$are paid in the month following purchase. The following data apply to January$-$ Sales$$75000,$ purchases $$60000$ and operating expenses$-$ $$9000$ and February Sales $$80000,$ purchases $$65000$ and operating expenses $-$ $$18000.$ If operating expenses arepaid in the month incurred and include monthly depreciation charges of $$5000,$determine the change in Avenger's cash balance during January and February monthseparately and the cash balance at the end of January and February.