(a) The cost function and price per unit function of selling x unit of chair are
C(x) = 0.1x2 + 2x + 500 and p(x) = 200 – x respectively. Calculate the:
1. revenue function (2 marks)
2. marginal cost when 5 units of chairs are produced (3 marks)
UIT
3. maximum profit (10 marks)

(b) Differentiate the following function with respect to x.

1. y = 12x-3 + 5x2– 9x + 15
(2 marks)

2. y = 6x6 - 7x -2 / x3

3. y = x + 1 / 2x - 7