Question

Find the marginal cost, marginal revenue, and marginal profit functions. Find all values of x for which the marginal profit is zero.

C(x) = 5x
R(x) = 8x − 0.001x^2

Answer 1

find

C'(x)
R'(x)

and
P'(x)=R'(x)-C'(x)

solve P'(x)=0 for x

Answer 2

okay hmmm lemme see

Answer 3

C'(x) = 5

R'(x) = 8-0.002x

Answer 4

so then P'(x) = 3-0.002x right?

Answer 5

yes

Answer 6

okay so then I just plug in 0? O_O

Answer 7

solve
3-0.002x=0

Answer 8

oh oh oh, I set it equal to zero!! I gotcha now

Answer 9

so that would come out to be 3 = 0.002x

and then I divide 3 by 0.002, so x =

Answer 10

yes

Answer 11

1500 o.o

Answer 12

1500

Answer 13

yay xDDDDD

ty ty ty Zarkon!!<3

Answer 14

np