Respuesta :
Answer:
P'(1100)=0.06
(see explanation below)
Step-by-step explanation:
The answer is incomplete. The profit function is missing, but another function will be used as an example (the answer will not match with the options).
The profit generated by a product is given by [tex]P=4\sqrt{x}[/tex].
The changing rate of sales can be mathematically expressed as the derivative of the profit function.
Then, we have to calculate the derivative in function of x:
[tex]\dfrac{dP}{dx}=\dfrac{d[4x^{0.5}]}{dx}=4(0.5)x^{0.5-1}=2x^{-0.5}=\dfrac{2}{\sqrt{x}}[/tex]
We now have to evaluate this function for x=1100 to know the rate of change of the sales at this vlaue of x.
[tex]P'(1100)=\frac{2}{\sqrt{1100} } =\frac{2}{33.16} =0.06[/tex]
