SOLUTION: A company that manufactures bicycle frames has determined that the monthly profit (in dollars) from the sale of x frames is given by {{{P(x) = x^3 - 47x^2 - 148x -100}}}

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Question 734631: A company that manufactures bicycle frames has determined that the monthly profit (in dollars) from the sale of x frames is given by
P%28x%29++=+++x%5E3++-+47x%5E2+-+148x+-100
Find the number of frames that must be sold per month for the profit to be zero. For what x-values will the profit be positive?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
P%28x%29++=+++x%5E3++-+47x%5E2+-+148x+-100
to find the zeros, you must apply the "rational root theorem".
That is, use synthetic division to find zeros.
After doing the above, the factors are:
P(x) = (x+2)(x+1)(x-50)
x = {-2, -1, 50}
We can ignore the negative roots.
Find the number of frames that must be sold per month for the profit to be zero.
Profit will be zero when
50 frames are sold
.
For what x-values will the profit be positive?
x > 50