Question

A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by P(x)=-2(x-3)(x-11)P(x)=−2(x−3)(x−11) Which app prices will result in \$0$0 annual profit? Enter the lower price first.

Answer 1

Answer:

x = $3, or x = $11

Step-by-step explanation:

The equation given is $P(x)=-2(x-3)(x-11)$

where

• P(x) is the profit, and
• x is the app price

We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:

$P(x)=-2(x-3)(x-11)\\0=-2(x-3)(x-11)\\0=(x-3)(x-11)$

It means (x-3) = 0  OR  (x-11) = 0

So, x = 3, or 11

Answer 2

Answer: -66 Million Dollars

Step-by-step explanation:

1. The company's profit if the app price is 0 dollars is given by P(0).

2. P(0)=−2(0−3)(0−11)

     =−2(−3)(−11)

     =−66

​3. In conclusion, the company will have a profit of -66 million dollars if the app price is 0 dollars.

In other words, the company would lose 66 million dollars.

(I Hope This Explanation Helps You And Many Others Have A Better Understanding On How To Solve These Kinds Of Problems. Don't Be Afraid To Write This Step By Step Explanation Down In Your Note Book. May God Be With You Always.)