Question 513463: I need help solving this problem.
Your company has determined that the profit equation (in thousands of dollars) of producing x thousand smartphones is as follows:
Profit = –x2 + 110x – 1,000
(If the number of smartphones is 40,000, for example, then x = 40). The break-even point is the number of smartphones sold and produced that would result in a profit of zero.
Use your preferred method for solving the quadratic equation to determine the break-even point. Clearly demonstrate how the answer is determined, and interpret the result in real-life terms.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Your company has determined that the profit equation (in thousands of dollars) of producing x thousand smartphones is as follows:
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Profit = –x^2 + 110x – 1,000
(If the number of smartphones is 40,000, for example, then x = 40). The break-even point is the number of smartphones sold and produced that would result in a profit of zero.
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Solve: -x^2 + 110x -1000 = 0
Factor to get:
-(x-10)(x-100) = 0
x = 10 or x = 100
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Use your preferred method for solving the quadratic equation to determine the break-even point. Clearly demonstrate how the answer is determined, and interpret the result in real-life terms.
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10,000 phones and 100,000 phones result in zero profit.
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Cheers,
Stan H.
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