Question: Find the marginal cost function C', the marginal revenue function R', and the marginal profit function P'. The weekly demand for Pulsar DVD recorders is given by the demand equation
p = -0.02x + 300 (0 ≤ x ≤ 15,000)
where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing these recorders is
C(x) = 0.000003x3 - 0.04x2 + 200x + 70,000
dollars.