Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 40x and that the total cost function is C(x) = 1600 + 20x + 0.01x². (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. MP = Explain what it predicts. The total profit will ---Select---by approximately $ (d) Find P(501) - P(500). $ Explain what this value represents. This is the total cost of 501 units. This is the actual profit on the sale of the 501st unit. This is the actual cost of the 501st unit. This is the total profit for 501 units. This is the actual revenue on the sale of the 501st unit. on the sale of the next (501st) unit.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Cost, revenue, and profit are in dollars and x is the number of units.
Suppose that the total revenue function for a product is R(x) = 40x and that the total cost function is C(x) = 1600 + 20x + 0.01x².
(a) Find the profit from the production and sale of 500 units.
$
(b) Find the marginal profit function.
(c) Find MP at x = 500.
MP =
Explain what it predicts.
The total profit will ---Select---
(d) Find P(501) - P(500).
$
Explain what this value represents.
This is the total cost of 501 units.
by approximately $
This is the actual profit on the sale of the 501st unit.
This is the actual cost of the 501st unit.
This is the total profit for 501 units.
This is the actual revenue on the sale of the 501st unit.
on the sale of the next (501st) unit.
Transcribed Image Text:Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 40x and that the total cost function is C(x) = 1600 + 20x + 0.01x². (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. MP = Explain what it predicts. The total profit will ---Select--- (d) Find P(501) - P(500). $ Explain what this value represents. This is the total cost of 501 units. by approximately $ This is the actual profit on the sale of the 501st unit. This is the actual cost of the 501st unit. This is the total profit for 501 units. This is the actual revenue on the sale of the 501st unit. on the sale of the next (501st) unit.
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