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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)
What would be the company's profit if the app price is 0 dollars?
million dollars

A certain company's main source of income is a mobile app.\newlineThe company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by\newlineP(x)=2(x3)(x11)P(x)=-2(x-3)(x-11)\newlineWhat would be the company's profit if the app price is 00 dollars?\newlinemillion dollars\text{million dollars}

Full solution

Q. A certain company's main source of income is a mobile app.\newlineThe company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by\newlineP(x)=2(x3)(x11)P(x)=-2(x-3)(x-11)\newlineWhat would be the company's profit if the app price is 00 dollars?\newlinemillion dollars\text{million dollars}
  1. Substitute xx with 00: To find the company's profit when the app price is 00 dollars, we need to evaluate the profit function P(x)P(x) at x=0x = 0.
    P(x)=2(x3)(x11)P(x) = -2(x-3)(x-11)
    Let's substitute xx with 00.
    P(0)=2(03)(011)P(0) = -2(0-3)(0-11)
  2. Calculate values inside parentheses: Now, we calculate the values inside the parentheses. P(0)=2(3)(11)P(0) = -2(-3)(-11)
  3. Multiply numbers inside parentheses: Next, we multiply the numbers inside the parentheses. P(0)=2×3×11P(0) = -2 \times 3 \times 11
  4. Perform multiplication: Now, we perform the multiplication to find the profit. P(0)=2×3×11=66P(0) = -2 \times 3 \times 11 = -66
  5. Determine profit at $0\$0 price: The profit when the app price is 00 dollars is 66-66 million dollars. This means the company would incur a loss of 6666 million dollars.

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