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) = 47x and that the total cost function is given by C(x) = 70 + 30x + 0.1x². (a) Find P(100). P(100) = (b) Find the marginal profit function MP. MP = (c) Find MP at x = 100. MP(100) Explain what it predicts. At x = 100, MP(100) predicts that profit will decrease by |MP(100)| dollars. At x = 100, MP(100) predicts that cost will increase by |MP(100) | dollars. At x = 100, MP(100) predicts that cost will decrease by |MP(100) | dollars. At x = 100, MP(100) predicts that profit will increase by |MP(100) | dollars. (d) Find P(101) - P(100). $ Explain what this value represents. - ○ The sale of the 101st unit will decrease profit by |P(101) - P(100) | dollars. The sale of the 100th unit will increase profit by |P(101) – P(100) | dollars. The sale of the 101st unit will increase profit by |P(101) - P(100) | dollars. The sale of the 100th unit will decrease profit by |P(101) - P(100) | dollars.