pst, revenue, and profit are in dollars and x is the number of units. uppose that the total revenue function for a product is R(x) = 35x and that the total cost function is C(x) = 1700 + 15x + 0.01x2. (a) Find the profit from the production and sale of 500 units. $4 (b) Find the marginal profit function. (c) Find MP at x = 500. MP =

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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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) = 35x and that the total cost function is C(x) = 1700 + 15x + 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.
%3D
MP =
Explain what it predicts.
The total profit wil v ---Select--- approximately $
on the sale of the next (501st) unit.
increase
(d) Find P(501) – P(500).
decrease
Explain what this value represents.
O This is the actual revenue on the sale of the 501st unit.
This is the actual cost of the 501st unit.
This is the total cost of 501 units.
O This is the actual profit on the sale of the 501st unit.
O This is the total profit for 501 units.
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) = 35x and that the total cost function is C(x) = 1700 + 15x + 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. %3D MP = Explain what it predicts. The total profit wil v ---Select--- approximately $ on the sale of the next (501st) unit. increase (d) Find P(501) – P(500). decrease Explain what this value represents. O This is the actual revenue on the sale of the 501st unit. This is the actual cost of the 501st unit. This is the total cost of 501 units. O This is the actual profit on the sale of the 501st unit. O This is the total profit for 501 units.
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