Suppose that the total revenue function is given by rx 46x

Question

Suppose that the total revenue function is given by R(x) = 46x and that the total cost function is given by C(x) = 100 + 30x + 1/10x²

(a) Find P(100).

(b) Find the marginal profit function.

(c) Find MP at x = 100 and explain what it predicts.

(d) Find P(101) - P(100) and explain what this value represents.