Question

If the cost of manufacturing x items is c(x) = x^3 + 21x^2 + 110x + 20 , find the marginal cost at x = 100 and the actual cost of manufacturing the 100th item.

Answer 1

@electrokid can u help

Answer 2

@Mertsj can u help?

Answer 3

What is marginal cost? I don't know that stuff. Is the formula you gave for marginal cost?

Answer 4

no its when i take the derivative of this problem then subtitute 100 in it and solve

Answer 5

do you get it know?

Answer 6

Did you take the derivative?

Answer 7

yes its 3x^2 + 42 + 110

Answer 8

Did you plug in 100?

Answer 9

no hold on

Answer 10

i got 90152

Answer 11

\[3(100)^2+42(100)+110=3(10000)+4200+110=30000+4200=110=34310\]

Answer 12

yes its 90,152

Answer 13

Which equation did you plug into? The given equation or the first derivative?

Answer 14

the derivative

Answer 15

Well I think you need to do it again. I did it twice and got 34,310 both times

Answer 16

ohh hold on