20,000 - 5000x dP A firm has the marginal-profit function where P(x) is the profit earned at x dollars per unit. Find the total-profit function given that P= $2500 at x = $4. %3D xp (x? - 8x + 17) 2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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What is the total-profit function?
dP
A firm has the marginal-profit function
20,000 - 5000x
2, where P(x) is the profit earned at x dollars per unit. Find the total-profit function given that P= $2500 at x = $4.
%3D
xp
How can the total-profit function be found?
OA. Substitute the given value of x into the marginal-profit function and evaluate.
OB. Substitute the given value of P into the marginal-profit function and solve for x.
OC. Find the derivative of the marginal-profit function and use the given values of x and P to find C.
D. Find the antiderivative of the marginal-profit function and use the given values of x and P to find C.
Find the total-profit function.
P(x) =O
Transcribed Image Text:dP A firm has the marginal-profit function 20,000 - 5000x 2, where P(x) is the profit earned at x dollars per unit. Find the total-profit function given that P= $2500 at x = $4. %3D xp How can the total-profit function be found? OA. Substitute the given value of x into the marginal-profit function and evaluate. OB. Substitute the given value of P into the marginal-profit function and solve for x. OC. Find the derivative of the marginal-profit function and use the given values of x and P to find C. D. Find the antiderivative of the marginal-profit function and use the given values of x and P to find C. Find the total-profit function. P(x) =O
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