(a) What is the monthly repayment on a mortgage of \\( 200,000 \\) over 30 years at a \\( 5 \\% \\) rate of interest? (8 marks) (b) How much should you pay as a lump sum for an annual annuity of \\( 2,000 \\) for 10 years assuming that the annuity starts in the end of year 3 at a \\( 6 \\% \\) rate of interest? (8 marks) (c) A firm sells 50 units of an item per month. The price of the item is \\( 200 \\), carrying cost of inventory is \\( 10 \\% \\) per annum and it cots \\( 12 \\) to place an order. (i) Find the economic order quantity, the minimum annual total cost, and the number of orders per year (12 marks) (ii) - Explain what is meant by Carrying cost and Reorder cost. (2 marks)