Suppose a manufacturer finds that its average weekly costs of production, C (in thousands of dollars), are a function of the number of units produced, x (in hundreds).
If C(x) = 0.004 x^3-0.6 x^2+500,
then

(dC)/(dx)|_(x = 50) =

Question

Suppose a manufacturer finds that its average weekly costs of production, C (in thousands of dollars), are a function of the number of units produced, x (in hundreds).
If C(x) = 0.004 x^3-0.6 x^2+500,
then

(dC)/(dx)|_(x = 50) =

anonymous · Answer

for the second equation given, was is it?  it's unclear>>

dumbcow · Answer

you want to find the rate at which Cost is changing when 5,000 units are produced
take derivative of C(x), then plug in 50 for x
use power rule
dC/dx = .012x^2 -1.2x

anonymous · Answer

aah, that makes it clear. .  the second equation is unclear. . .