Question

i’ve already done the question just need a quick help woth something...

Answer 1

@Hero

Answer 2

can you please check my work? and the last question love? :)

Answer 3

Did you interpret the result?

Answer 4

the last part where it says *interpret your results... since the instantaneous rate of change at R’(10,000) = 0....what does that tell me ?

Answer 5

The slope of R(x) is zero

Answer 6

this means that the instantaneous rate of change of the original function at R(x) is 0

Answer 7

Yes correct

Answer 8

sooooo what does that mean in words???

Answer 9

i need a hint plz

Answer 10

When the instantaneous rate of change of the original function is zero. it just means R(x) is neither increasing or decreasing at the point (x, R(x)).

Answer 11

just like the last question at point (100,114) ?

Answer 12

Exactly

Answer 13

icy now. thanks hero. your a life saver :) god bless u :)

Answer 14

It also means that the point (x,R(x)) is either a local minimum, local maximum or an inflection point.
You'd have to find R''(x) = 0 to figure out which it is or just graph the function and look at it.

Answer 15

i got it thanks bro :)

Answer 16

so when the marginal cost at is 0 when R’(10000), what does that translates to in terms of the original function???

Answer 17

How did you get R'(10,000) = 0

Answer 18

Nevermind

Answer 19

let me draw plz

Answer 20

One second

Answer 21

oh okie

Answer 22

In this case, it gives you the point (10000,R(10000)) which is the point where the graph of R(x) is neither increasing or decreasing. Notice that \(a\) is negative in this case which means the graph is concave down so (10000, R(10000)) is a maximum. So R(10000) is the value of greatest revenue for the company.

Answer 23

for the original function right?? so at 10000 units, the company makes the most rev?

Answer 24

k got it hero. thanks bro. :)