In Problem, cost, revenue, and profit are in dollars and x is the number of units.

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 + 0.1x²

(a) Find P(100).

(b) Find the marginal profit function.

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

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