Chapter 1, Problem 29RE

(a)

To determine

To calculate: The number of times the website is crashed when the number of visitors is $10,000$ also calculates when visitors are $50,000$ and $100,000$, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

$c\left(x\right)=\{\begin{array}{l}0.03x+2\text{ if }0\le x\le 50\\ 0.05x+1\text{ if }x>50\end{array}$

Where the average number of crashes in a day is represented by $c\left(x\right)$ and x is the number of visitors in thousands.

(b)

To determine

The significance of the coefficient $0.03$, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

$c\left(x\right)=\{\begin{array}{l}0.03x+2\text{ if }0\le x\le 50\\ 0.05x+1\text{ if }x>50\end{array}$

Where the average number of crashes in a day is represented by $c\left(x\right)$ and x is the number of visitors in thousands.

(c)

To determine

To calculate: The number of visitors on the website on Friday when the website was eight times down, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

$c\left(x\right)=\{\begin{array}{l}0.03x+2\text{ if }0\le x\le 50\\ 0.05x+1\text{ if }x>50\end{array}$

Where the average number of crashes in a day is represented by $c\left(x\right)$ and x is the number of visitors in thousands.