A. For the function f(x)=2x33x212x+4, i. Find the y-intercept. ii. Locate the stationary points. iii. Determine the nature of the stationary points. iv. Find the point of inflection. B. The profit and cost functions for the sale of cosmetic products are given P(x)=200x3x33200 and C(x)=3800+21x+30x2 respectively. i. Derive the revenue function ii. Determine marginal revenue function iii. Determine the marginal profit function iv. Determine the marginal cost function v. Determine the marginal cost at x=30