SOLUTION: I am really having troubles with these word problems. A small manufacturers weekly profit in dollars is given by P = 2x^2 + 200x. find the number of items of X that must be prod

Question 762489: I am really having troubles with these word problems.
A small manufacturers weekly profit in dollars is given by P = 2x^2 + 200x. find the number of items of X that must be produced to make a profit of $4608

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A small manufacturers weekly profit in dollars is given by P = 2x^2 + 200x. find the number of items of X that must be produced to make a profit of $4608
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Solve:
2x^2 + 200x = 4608
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2x^2 + 200x - 4608 = 0
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x^2 + 100x - 2304 = 0
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x = [-100 +- sqrt(10000-4*-2304)]/2
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x = [-100 +- sqrt(12304)]/2 = [-100 + 138.62]/2 = 38.62/2 = 19.31
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Cheers,
Stan H.
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