Sheilas Society Clothing Manufacturer has collection centres around the country to speed up cash collections. The company also makes its disbursements from remote disbursement centres, so cheques written by Sheilas take longer to clear the bank. Collection time has been reduced by three days and a half days and disbursement time has been increased by one and a half days because of these policies. Excess funds are being invested in short$-$term instruments yielding $5$ percent per annum. a$.$ If the firm has $$4\mathrm{.}00$ million per day in collections and $$3\mathrm{.}10$ million per day in disbursements, how many dollars has the cash management system freed up$?$