a) A company wishes to save a fixed amount at the end of each month in order to replace a piece of machinery in 10 years time. If they know the machine will cost $250,000 and that they can invest their savings at 6% interest (compounded monthly) how much do they need to save each month to purchase this machine? b) Suppose the company could invest a lump sum of $50,000 into the account immediately. What would their new monthly payment need to be