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 byP(x)=−2(x−3)(x−11)What would be the company's profit if the app price is 0 dollars?million dollars
Q. 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 byP(x)=−2(x−3)(x−11)What would be the company's profit if the app price is 0 dollars?million dollars
Substitute x with 0: To find the company's profit when the app price is 0 dollars, we need to evaluate the profit function P(x) at x=0. P(x)=−2(x−3)(x−11) Let's substitute x with 0. P(0)=−2(0−3)(0−11)
Calculate values inside parentheses: Now, we calculate the values inside the parentheses. P(0)=−2(−3)(−11)
Multiply numbers inside parentheses: Next, we multiply the numbers inside the parentheses. P(0)=−2×3×11
Perform multiplication: Now, we perform the multiplication to find the profit. P(0)=−2×3×11=−66
Determine profit at $0 price: The profit when the app price is 0 dollars is −66 million dollars. This means the company would incur a loss of 66 million dollars.
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