SOLUTION: i'm doing optimization problems in class and i have no clue where to even start with these problems...thanks A computer company determines the profit equation (in millions of do

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Question 238346: i'm doing optimization problems in class and i have no clue where to even start with these problems...thanks
A computer company determines the profit equation (in millions of dollars) is given by P=x^3-48x^2+720x-1000, where x is the number of thousands of units of software sold and x is greater than or equal to 0 and less than or equal to 40

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A computer company determines the profit equation (in millions of dollars) is given by P=x^3-48x^2+720x-1000, where x is the number of thousands of units of software sold and x is greater than or equal to 0 and less than or equal to 40
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You could graph it and see where the high and the low points are in that interval.
graph%28400%2C300%2C-10%2C50%2C-1400%2C5000%2Cx%5E3-48x%5E2%2B720x-1000%29
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Or, if you are studying calculus you could take the 1st derivative,
and the 2nd derivative and determine the local and absolute max/min
values on [0,40]
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Cheers,
Stan H.