Question

A certain companies main source of income is a mobile app. The companies 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) which app prices will result in $0 annual profit?

Answer 1

$3, $11

Explanation:

The profit function P(x) will be zero when either of its factors is zero. The left factor (x-3) is zero when x=3. The right factor (x-11) is zero when x=11.

Prices of $3 or $11 will result in $0 annual profit.

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Additional comment

A price halfway between these values, at (3+11)/2 = 7, will produce maximum profit, $32 million.