Provide solutions to the following questions.

(i) Calculate the combined present value of an immediate annuity payable monthly in arrears such that payments are $1,000 pa for the first 6 years and $400 pa for the next 4 years, together with a lump sum of $2,000 at the end of the 10 years. [3] (ii) Calculate the amount of the level annuity payable continuously for 10 years having the same present value as the payments in (i). [3] (iii) Calculate the accumulated values of the first 7 years' payments at the end of the 7th year for the payments in (i) and (ii). [3] Basis: Assume an interest rate of 12% pa convertible monthly. [Total 9](a) In a perfectly competitive market, a firm's average revenue and cost functions are given as follows: AR = a Q-B where a, B are constants and Q is the output AC = a-B AR is the average revenue and AC is the average cost. on the basis of the functions given above, determine: Total revenue function. (2 marks) Total cost function. (2 marks) Total break-even output level. (2 marks)An investigation was carried out into the number of hours lost due to stress-related illnesses at various companies. The results for a random sample of individuals from five companies are shown below. company A B C D E 30 42 65 67 70 25 57 46 58 63 12 47 55 81 80 23 30 27 16 totals 106 176 193 206 213 EEx; = 50,354 Use analysis of variance to test for differences between companies. You should present your results in the form of an ANOVA table