(a) (i) Define the break even point as used in Business. (1 mark) (ii) The revenue R in terms of the

(a) (i) Define the break even point as used in Business. (1 mark)

(ii) The revenue Rin terms of the number of items produced is given by R(x) = 12xand the cost Cby C(x) = 7x+ 85. Find the break-even point and the break even price per unit item. (3 marks)

(b) The market supply function of sugar is q= 160 + 8p, where qdenotes the quantity of sugar supplied andpdenotes its market price. The unit cost of production is Ksh.4. It is felt that the total profit should be Ksh.5,000. What market price has to be fixed in order to achieve this profit? (4 marks)

(c) Using the quadratic formula, solve the following quadratic equation; 6x²– 11x+ 4 = 0.

(4 marks)

(d) Consider the arithmetic sequence given by {1,4, 7,10,13}

(i) Compute the sum of the first 10 terms.

(ii) How many terms of the arithmetic series must be taken so that their sum of 590 ?

(4 marks)

(e) Consider the sequence given by {1,3,9,27,81,···}

(i) Compute the sum of the first 15 terms

(ii) How many terms of the G.P must be taken so that their sum is 3280 ?

(4 marks)