Solve the problem.
-If the price of a product is given by $P(x)=\frac{1024}{x}+1200$, where $x$ represents the demand for the product, find the rate of change of price when the demand is 32 .
A) -1
B) 1
C) 32
D) -32

Question

Quizplus · Accepted Answer

The rate of change of price is the derivative of the price function with respect to demand. So, we have:$$\frac{dP}{dx}=-\frac{1024}{x^2}$$When the demand is 32, the rate of change of price is:$$\frac{dP}{dx}=-\frac{1024}{32^2}=-1$$Therefore, the correct choice is A.

Solve the Problem P(x)=1024x+1200P(x)=\frac{1024}{x}+1200P(x)=x1024​+1200 , Where xxx Represents the Demand for the Product, Find the Rate of Given

Solve the Problem $P(x)=\frac{1024}{x}+1200$ , Where $x$ Represents the Demand for the Product, Find the Rate of Given