Aurora Electrical Company of Yellowknife ships wind turbines throughout the country. Mr$.$ Beam, the financial manager, has determined that through the establishment of local collection centres around the country, he can speed up the collection of payments by two days. Furthermore, the cash managerent department of the company's bank has indicated to him that he can defer payments on his accounts by one day without offending suppliers. The bank has a rernote disbursement centre in New Brunswick.

a$.$ If Aurora Electrical Company has $$2\mathrm{.}05$ million per day in collections and $$1\mathrm{.}01$ million per day in disbursements, how many dollars will the cash management system free up$?5$ marks

b$.$ If Aurora Electrical Company can earn $7\%$ percent per annum on freed$-$up funds, how much income can be generated? $-3$ marks

c$.$ If the total cost of the system is $$380,000$ should it be implemented? $-2$ marks