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)=
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