The revenue R for a company selling x units is

Question

R = 700x − 0.1^x2.
(a) Use differentials to approximate the change in revenue as the sales increase from 2900 units to 3000 units.
dR = $

(b) Compare this with the actual change in revenue.
ΔR = $

Answer 1

dR=700dx-.2x dx=dx(700-.2x)

put in dx as 100, x as 2900
a. I get 100(700-.2*2900=12000

b. actual change:
R(2900)=1189000
R(3000)=1200000
dR=11000