Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions.
C(x) = 0.0001x^3 - 0.036x^2 + 300x + 50,000
R(x) = 350x
A. C'(x) = 0.0003x^2 + 0.072x + 300
R'(x) = 350
P'(x) = 0.0003x^2 + 0.072x + 50
B. C'(x) = 0.0003x^2 - 0.072x + 300
R'(x) = 350
P'(x) = -0.0003x^2 + 0.072x + 50
C. C'(x) = 0.0003x^2 - 0.072x + 300
R'(x) = 350
P'(x) = 0.0003x^2 - 0.072x - 50