A firm has the marginal-profit function (dP)/(dx)=(12,000-6000x)/((x^(2)-4x+5)^(2)), where P(x) is the profit earned at x dollars per unit. Find the total-profit function given that P=$3000 at x=$2. How can the total-profit function be found? A. Substitute the given value of x into the marginal-profit function and evaluate. B. Substitute the given

Question

A firm has the marginal-profit function

(dP)/(dx)=(12,000-6000x)/((x^(2)-4x+5)^(2))

, where

P(x)

is the profit earned at

x

dollars per unit. Find the total-profit function given that

P=$3000

at

x=$2

. How can the total-profit function be found? A. Substitute the given value of

x

into the marginal-profit function and evaluate. B. Substitute the given value of

P

into the marginal-profit function and solve for

x

. C. Find the antiderivative of the marginal-profit function and use the given values of

x

and

P

to find

C

. D. Find the derivative of the marginal-profit function and use the given values of

x

and

P

to find

C

. Find the total-profit function.

P(x)=

◻

Accepted Answer

Expert Answer to - A firm has the marginal-profit function (dP)/(dx)=(12,000-6000x)/((x^(2)-4x+5)^(2)), where P(x) is t

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(Solved): A firm has the marginal-profit function (dP)/(dx)=(12,000-6000x)/((x^(2)-4x+5)^(2)), where P(x) is t ...