Question

uppose that for a company manufacturing calculators, the cost, and revenue equations are given by
C=90000+40x
R=300−x^2/20
where the production output in one week is x calculators. If the production rate is increasing at a rate of 500 calculators when the production output is 6000 calculators, find each of the following:

Rate of change in cost =

Rate of change in revenue =

Rate of change in profit =

Answer 1

rate of change in cost = C' = 40 * x' = 40 * 500 = ?
rate of change of revenue = R' = \(\Large{-2x\times x'\over20}=-{6000\times400\over10}=-\) i.e., decreasing
Profit = Revenue - cost
\[P(x)=R(x)-C(x)\implies P'(x)=R'(x)-C'(x)=?\]

Answer 2

so for the cost i got 20000 but for the revenue i calculated the equation and it tells me its the wrong answer

Answer 3

what value did you put for revenue rate?

Answer 4

for the revenue i got 240000

Answer 5

what about the sign?

Answer 6

I made a note on the sign up there.....

Answer 7

for the sign was negative

Answer 8

and the negative answer is wrong?

Answer 9

@91004775 ok. I'll be turning in now!

Answer 10

☮

Answer 11

yeah i did tell me it was wrong but thanks anyways