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lesya692 [45]
3 years ago
5

A computer manufacturer releases a new laptop model. The total sales of this computer can be modeled by the function S(t)=75/1+5

2e^(-0.8t), where S(t) is measured in thousands of computers.
What is the number of sales the manufacturer can expect its sales to stabilize to over time?
Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer:

The number for the stable sale is 75,000.

Step-by-step explanation:

We are given that,

The total sales of the computer over time is modeled by,

S(t)=\frac{75}{1+52e^{-0.8t}} (in thousands).

It is required to stabilize the number of sales over time.

Now we can see that,

As t\rightarrow \infty, the value 52e^{-0.8t}\rightarrow 0

So, for large values of t, S(t)= 75,000

<em>That is, the total sales over time will be 75,000</em>

Thus, the number for the stable sale is 75,000.

maksim [4K]3 years ago
4 0
The answer is 23445.90
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