Question

P(x)=-2(x-3)(x-11)P(x)=−2(x−3)(x−11)P, (, x, ), equals, minus, 2, (, x, minus, 3, ), (, x, minus, 11, )Which app prices will result in \$0$0dollar sign, 0 annual profit?

Answer 1

$3 or $11

Explanation:

Given the profit function:

P(x)=-2(x-3)(x-11) where x is the app price.

To determine which app price(s) will give a profit of $0, we set the profit function equals to zero and solve.

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

Since-2≠0,

(x-3)(x-11)=0

We know that for the product of two terms to be zero, at least one of the terms must be zero. Therefore:

x-3=0 or x-11=0

x=3 or x=11

Thus, when the app price is $3 or $11, the profit will be zero.

Answer 2

x = 3 and x = 11

Explanation:

To find the app price (x) that will result in 0 annual profit, we just need to make P(x) = 0 and then find the value of x:

P(x) = -2*(x-3)*(x-11)

0 = -2*(x-3)*(x-11)

(x-3)*(x-11) = 0

To make this equation equal to zero, we just need to have (x-3) = 0 or (x-11) = 0

So, the values that give P(x) = 0 are:

(x-3) = 0 -> x = 3

and

(x-11) = 0 -> x = 11