Question

For the revenue model in Exercise 10.206 and

Exercise 10.210, explain what the x-intercepts mean to

the backpack retailer.

Short answer

The x-intercepts means that the revenue for the backpack retailer would be zero only when the selling price of each backpack is 0 or 100.

Step-by-step solution

Step 1. Given Information

$R=-x^2+100x$

Step 2. Finding x-intercept

for x-intercept :

$$\begin{gathered} R=0, \\ 0=-x^2+100x \\ x(x-100)=0 \\ {x}_1=0,x_2=100 \end{gathered}$$

Step 3. Explanation

The x-intercepts means that the revenue for the backpack retailer would be zero only when the selling price of each backpack is 0 or 100.