A particle is moving along a horizontal line according to the equation s = (t - 1)3(t -3) where's meters is the directed distance of the particle from a point O at t seconds. The positive direction is to the right. Determine the intervals of time when the particle is moving to the right and moving to the left. Then find the instantaneous velocity of the particle at time t = 2. Is the velocity increasing, decreasing or non-changing at t = 2? A manufacturer estimates that when r units of a certaincommodity are produced, the total cost will be C(x) pesos, wher 2 C(@) = = 72 + 2x + 50. Furthermore, r units will be sold when the price p in pesos for each commodity is P(I) = - - 12x + 5000. Find (a) (4 points) the revenue function R and the profit function P. (b) (2 points) the marginal revenue and the marginal profit when a = 35 units