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Wittaler [7]
3 years ago
5

Assume that the profit generated by a product is given by where x is the number of units sold. If the profit keeps changing at a

rate of per month, then how fast are the sales changing when the number of units sold is 1900
Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

21794.495 units/month

Step-by-step explanation:

Some data are missing which i can assume as per requirement of the Question.

Let us consider that profit generated by a product is given by

p(x) =4√x

Also, consider that the profit keeps changing at a rate of $1000 per month.

Now, Using the chain rule we can write

dp/dx=(dp/dt)÷(dx/dt).

So, we  can calculate

dp/dx=2x^(-1/2)=2/√x.

As per  question we have to find out  dx/dt

Since, dx/dt= (dp/dt)/(dp/dx),

so plugging  x=1900  we get 1000√1900/2=21794.495 units/month increase in sales.

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