Address the following questions.

A multiple decrement table involves three decrements a, b and c. In the single decrement tables the decrements a and b occur uniformly over (x, x+1) but decrement c occurs only at age x + '/4. Derive an expression for (aq), in terms of q, , q, and qx - [6]"A company maximises profits by setting output at a level such that the marginal cost of production equals the price for which the company sells the product." Describe the conditions under which this statement is true. [10]