DieselShip's Online Content Library

Q7. a. A company produces particular components in batch sizes which are in multiples of a hundred components.

The production cost, C, of x hundred components is given by: C = 2x³ - 12x² - 72x + 500

Determine, using differential calculus, the batch size which minimizes the cost of production (8)

b. Determine the first and second derivatives of EACH of the following functions:

i. y = x⁵/5 + 3/x (4)

ii. S = cost + ln⁡t  (4)