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) = 48x and that the total cost function is given by C(x) = 70 + 29x + 0.1x². (a) Find P(100). P(100) = | (b) Find the marginal profit function MP. MP = (c) Find MP at x = 100. MP(100) = | %3D Explain what it predicts. O At x = 100, MP(100) predicts that profit will increase by |MP(100)| dollars. O At x = 100, MP(100) predicts that cost will decrease by MP(100)| dollars. O At x = 100, MP(100) predicts that cost will increase by |MP(100)| dollars. O At x = 100, MP(100) predicts that profit will decrease by |MP(100)| dollars. (d) Find P(101) – P(100). Explain what this value represents. O The sale of the 100th unit will decrease profit by |P(101) – P(100)| dollars. O The sale of the 101st unit will increase profit by |P(101) – P(100)| dollars. O The sale of the 101st unit will decrease profit by |P(101) – P(100)| dollars. O The sale of the 100th unit will increase profit by JP(101) – P(100)| dollars.
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) = 48x and that the total cost function is given by C(x) = 70 + 29x + 0.1x². (a) Find P(100). P(100) = | (b) Find the marginal profit function MP. MP = (c) Find MP at x = 100. MP(100) = | %3D Explain what it predicts. O At x = 100, MP(100) predicts that profit will increase by |MP(100)| dollars. O At x = 100, MP(100) predicts that cost will decrease by MP(100)| dollars. O At x = 100, MP(100) predicts that cost will increase by |MP(100)| dollars. O At x = 100, MP(100) predicts that profit will decrease by |MP(100)| dollars. (d) Find P(101) – P(100). Explain what this value represents. O The sale of the 100th unit will decrease profit by |P(101) – P(100)| dollars. O The sale of the 101st unit will increase profit by |P(101) – P(100)| dollars. O The sale of the 101st unit will decrease profit by |P(101) – P(100)| dollars. O The sale of the 100th unit will increase profit by JP(101) – P(100)| dollars.
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.2P
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