Answer:
$3 or $11
Step-by-Step 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.
x = 3 and x = 11
Step-by-step 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
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